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52052838840 = 2334590717713
BaseRepresentation
bin110000011110100101…
…110100100110111000
311222100122121012010000
4300132211310212320
51323101011320330
635525052553000
73521626554432
oct603645644670
9158318535100
1052052838840
112009151a282
12a108482760
134ba7157672
14273b221652
151549be3560
hexc1e9749b8

52052838840 has 160 divisors (see below), whose sum is σ = 175158157680. Its totient is φ = 13864670208.

The previous prime is 52052838821. The next prime is 52052838841. The reversal of 52052838840 is 4883825025.

52052838840 is a `hidden beast` number, since 5 + 2 + 0 + 528 + 3 + 88 + 40 = 666.

52052838840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52052838841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2929824 + ... + 2947536.

Almost surely, 252052838840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52052838840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87579078840).

52052838840 is an abundant number, since it is smaller than the sum of its proper divisors (123105318840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52052838840 is a wasteful number, since it uses less digits than its factorization.

52052838840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18643 (or 18630 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 52052838840 in words is "fifty-two billion, fifty-two million, eight hundred thirty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 907 1080 1620 1814 2721 3240 3628 4535 5442 7256 8163 9070 10884 13605 16326 17713 18140 21768 24489 27210 32652 35426 36280 40815 48978 53139 54420 65304 70852 73467 81630 88565 97956 106278 108840 122445 141704 146934 159417 163260 177130 195912 212556 244890 265695 293868 318834 326520 354260 367335 425112 478251 489780 531390 587736 637668 708520 734670 797085 956502 979560 1062780 1275336 1434753 1469340 1594170 1913004 2125560 2391255 2869506 2938680 3188340 3826008 4782510 5739012 6376680 7173765 9565020 11478024 14347530 16065691 19130040 28695060 32131382 48197073 57390120 64262764 80328455 96394146 128525528 144591219 160656910 192788292 240985365 289182438 321313820 385576584 433773657 481970730 578364876 642627640 722956095 867547314 963941460 1156729752 1301320971 1445912190 1735094628 1927882920 2168868285 2602641942 2891824380 3470189256 4337736570 5205283884 5783648760 6506604855 8675473140 10410567768 13013209710 17350946280 26026419420 52052838840