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52756920 = 2334519857
BaseRepresentation
bin1100100101000…
…0000110111000
310200021022220000
43021100012320
5102001210140
65122433000
71210266156
oct311200670
9120238800
1052756920
1127864067
1215802760
13ac12218
1470143d6
154971a30
hex32501b8

52756920 has 160 divisors (see below), whose sum is σ = 186872400. Its totient is φ = 13312512.

The previous prime is 52756903. The next prime is 52756927. The reversal of 52756920 is 2965725.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52756927) 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, 61132 + ... + 61988.

Almost surely, 252756920 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 52756920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93436200).

52756920 is an abundant number, since it is smaller than the sum of its proper divisors (134115480).

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

52756920 is a wasteful number, since it uses less digits than its factorization.

52756920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 52756920 is about 7263.3958999906. The cubic root of 52756920 is about 375.0534323863.

The spelling of 52756920 in words is "fifty-two million, seven hundred fifty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 81 90 95 108 114 120 135 152 162 171 180 190 216 228 270 285 324 342 360 380 405 456 513 540 570 648 684 760 810 855 857 1026 1080 1140 1368 1539 1620 1710 1714 2052 2280 2565 2571 3078 3240 3420 3428 4104 4285 5130 5142 6156 6840 6856 7695 7713 8570 10260 10284 12312 12855 15390 15426 16283 17140 20520 20568 23139 25710 30780 30852 32566 34280 38565 46278 48849 51420 61560 61704 65132 69417 77130 81415 92556 97698 102840 115695 130264 138834 146547 154260 162830 185112 195396 231390 244245 277668 293094 308520 325660 347085 390792 439641 462780 488490 555336 586188 651320 694170 732735 879282 925560 976980 1172376 1318923 1388340 1465470 1758564 1953960 2198205 2637846 2776680 2930940 3517128 4396410 5275692 5861880 6594615 8792820 10551384 13189230 17585640 26378460 52756920