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52162656 = 2537213853
BaseRepresentation
bin1100011011111…
…1000001100000
310122011010201020
43012333001200
5101323201111
65102005440
71202242500
oct306770140
9118133636
1052162656
1127498637
1215576880
13aa648a0
146cdba00
1548a5906
hex31bf060

52162656 has 144 divisors (see below), whose sum is σ = 171735984. Its totient is φ = 13741056.

The previous prime is 52162651. The next prime is 52162687. The reversal of 52162656 is 65626125.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52162651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60726 + ... + 61578.

It is an arithmetic number, because the mean of its divisors is an integer number (1192611).

Almost surely, 252162656 is an apocalyptic number.

52162656 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 52162656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85867992).

52162656 is an abundant number, since it is smaller than the sum of its proper divisors (119573328).

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

52162656 is a wasteful number, since it uses less digits than its factorization.

52162656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 878 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 52162656 is about 7222.3719095599. The cubic root of 52162656 is about 373.6398871007.

The spelling of 52162656 in words is "fifty-two million, one hundred sixty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 78 84 91 96 98 104 112 147 156 168 182 196 208 224 273 294 312 336 364 392 416 546 588 624 637 672 728 784 853 1092 1176 1248 1274 1456 1568 1706 1911 2184 2352 2548 2559 2912 3412 3822 4368 4704 5096 5118 5971 6824 7644 8736 10192 10236 11089 11942 13648 15288 17913 20384 20472 22178 23884 27296 30576 33267 35826 40944 41797 44356 47768 61152 66534 71652 77623 81888 83594 88712 95536 125391 133068 143304 155246 167188 177424 191072 232869 250782 266136 286608 310492 334376 354848 465738 501564 532272 543361 573216 620984 668752 931476 1003128 1064544 1086722 1241968 1337504 1630083 1862952 2006256 2173444 2483936 3260166 3725904 4012512 4346888 6520332 7451808 8693776 13040664 17387552 26081328 52162656