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52337152 = 29717859
BaseRepresentation
bin1100011110100…
…1101000000000
310122111000002001
43013221220000
5101344242102
65105433344
71203600310
oct307515000
9118430061
1052337152
11275a774a
121563b854
13aac613a
146d45440
1548dc487
hex31e9a00

52337152 has 80 divisors (see below), whose sum is σ = 126688320. Its totient is φ = 21086208.

The previous prime is 52337147. The next prime is 52337183. The reversal of 52337152 is 25173325.

It is a super-2 number, since 2×523371522 = 5478354958942208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 52337152.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60499 + ... + 61357.

It is an arithmetic number, because the mean of its divisors is an integer number (1583604).

Almost surely, 252337152 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 52337152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63344160).

52337152 is an abundant number, since it is smaller than the sum of its proper divisors (74351168).

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

52337152 is an equidigital number, since it uses as much as digits as its factorization.

52337152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 885 counting only the distinct ones).

The product of its digits is 6300, while the sum is 28.

The square root of 52337152 is about 7234.4420655639. The cubic root of 52337152 is about 374.0560603050.

It can be divided in two parts, 523 and 37152, that added together give a triangular number (37675 = T274).

The spelling of 52337152 in words is "fifty-two million, three hundred thirty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 512 544 859 896 952 1088 1718 1792 1904 2176 3436 3584 3808 4352 6013 6872 7616 8704 12026 13744 14603 15232 24052 27488 29206 30464 48104 54976 58412 60928 96208 102221 109952 116824 192416 204442 219904 233648 384832 408884 439808 467296 769664 817768 934592 1539328 1635536 1869184 3078656 3271072 3738368 6542144 7476736 13084288 26168576 52337152