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52293120 = 293511619
BaseRepresentation
bin1100011101111…
…0111000000000
310122101202200020
43013132320000
5101341334440
65104453440
71203325035
oct307367000
9118352606
1052293120
1127577660
121561a280
13aaac099
146d3338c
1548ce3d0
hex31dee00

52293120 has 160 divisors (see below), whose sum is σ = 182666880. Its totient is φ = 12656640.

The previous prime is 52293097. The next prime is 52293121. The reversal of 52293120 is 2139225.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52293121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84171 + ... + 84789.

It is an arithmetic number, because the mean of its divisors is an integer number (1141668).

Almost surely, 252293120 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 52293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91333440).

52293120 is an abundant number, since it is smaller than the sum of its proper divisors (130373760).

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

52293120 is a wasteful number, since it uses less digits than its factorization.

52293120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 52293120 is about 7231.3982050500. The cubic root of 52293120 is about 373.9511312892.

The spelling of 52293120 in words is "fifty-two million, two hundred ninety-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 512 528 619 640 660 704 768 880 960 1056 1238 1280 1320 1408 1536 1760 1857 1920 2112 2476 2560 2640 2816 3095 3520 3714 3840 4224 4952 5280 5632 6190 6809 7040 7428 7680 8448 9285 9904 10560 12380 13618 14080 14856 16896 18570 19808 20427 21120 24760 27236 28160 29712 34045 37140 39616 40854 42240 49520 54472 59424 68090 74280 79232 81708 84480 99040 102135 108944 118848 136180 148560 158464 163416 198080 204270 217888 237696 272360 297120 316928 326832 396160 408540 435776 475392 544720 594240 653664 792320 817080 871552 950784 1089440 1188480 1307328 1584640 1634160 1743104 2178880 2376960 2614656 3268320 3486208 4357760 4753920 5229312 6536640 8715520 10458624 13073280 17431040 26146560 52293120