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52625538 = 235731499
BaseRepresentation
bin1100100011000…
…0000010000010
310200000122200000
43020300002002
5101433004123
65115540430
71206211140
oct310600202
9120018600
1052625538
1127784389
121575a716
13ab97494
146dbc590
154947b43
hex3230082

52625538 has 96 divisors (see below), whose sum is σ = 139776000. Its totient is φ = 14521680.

The previous prime is 52625537. The next prime is 52625561. The reversal of 52625538 is 83552625.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (52625533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105213 + ... + 105711.

It is an arithmetic number, because the mean of its divisors is an integer number (1456000).

Almost surely, 252625538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52625538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69888000).

52625538 is an abundant number, since it is smaller than the sum of its proper divisors (87150462).

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

52625538 is a wasteful number, since it uses less digits than its factorization.

52625538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 542 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 52625538 is about 7254.3461455875. The cubic root of 52625538 is about 374.7418383142.

The spelling of 52625538 in words is "fifty-two million, six hundred twenty-five thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 81 93 126 162 186 189 217 243 279 378 434 486 499 558 567 651 837 998 1134 1302 1497 1674 1701 1953 2511 2994 3402 3493 3906 4491 5022 5859 6986 7533 8982 10479 11718 13473 15066 15469 17577 20958 26946 30938 31437 35154 40419 46407 52731 62874 80838 92814 94311 105462 108283 121257 139221 188622 216566 242514 278442 282933 324849 417663 565866 649698 835326 848799 974547 1252989 1697598 1949094 2505978 2923641 3758967 5847282 7517934 8770923 17541846 26312769 52625538