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52516296 = 2333747739
BaseRepresentation
bin1100100001010…
…1010111001000
310122211002211000
43020111113020
5101421010141
65113335000
71205244510
oct310252710
9118732730
1052516296
112770a2a8
1215707460
13ab59841
146d90840
1549255b6
hex32155c8

52516296 has 128 divisors (see below), whose sum is σ = 170496000. Its totient is φ = 14665536.

The previous prime is 52516271. The next prime is 52516297. The reversal of 52516296 is 69261525.

52516296 is a `hidden beast` number, since 5 + 25 + 1 + 629 + 6 = 666.

It is a super-2 number, since 2×525162962 = 5515922691119232, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 52516296.

It is not an unprimeable number, because it can be changed into a prime (52516297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70695 + ... + 71433.

It is an arithmetic number, because the mean of its divisors is an integer number (1332000).

Almost surely, 252516296 is an apocalyptic number.

52516296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52516296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85248000).

52516296 is an abundant number, since it is smaller than the sum of its proper divisors (117979704).

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

52516296 is a wasteful number, since it uses less digits than its factorization.

52516296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 798 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 52516296 is about 7246.8128166802. The cubic root of 52516296 is about 374.4823577862.

The spelling of 52516296 in words is "fifty-two million, five hundred sixteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 47 54 56 63 72 84 94 108 126 141 168 188 189 216 252 282 329 376 378 423 504 564 658 739 756 846 987 1128 1269 1316 1478 1512 1692 1974 2217 2538 2632 2956 2961 3384 3948 4434 5076 5173 5912 5922 6651 7896 8868 8883 10152 10346 11844 13302 15519 17736 17766 19953 20692 23688 26604 31038 34733 35532 39906 41384 46557 53208 62076 69466 71064 79812 93114 104199 124152 138932 139671 159624 186228 208398 243131 277864 279342 312597 372456 416796 486262 558684 625194 729393 833592 937791 972524 1117368 1250388 1458786 1875582 1945048 2188179 2500776 2917572 3751164 4376358 5835144 6564537 7502328 8752716 13129074 17505432 26258148 52516296