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53872632 = 233211251271
BaseRepresentation
bin1100110110000…
…0011111111000
310202101000100200
43031200133320
5102242411012
65202402200
71222624032
oct315403770
9122330320
1053872632
1128456340
1216060360
13b212cc8
147224c52
154ae23dc
hex33607f8

53872632 has 96 divisors (see below), whose sum is σ = 160392960. Its totient is φ = 16200000.

The previous prime is 53872631. The next prime is 53872639. The reversal of 53872632 is 23627835.

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 (53872631) 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, 198657 + ... + 198927.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 253872632 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 53872632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80196480).

53872632 is an abundant number, since it is smaller than the sum of its proper divisors (106520328).

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

53872632 is a wasteful number, since it uses less digits than its factorization.

53872632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 538 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 53872632 is about 7339.7978173789. The cubic root of 53872632 is about 377.6789076392.

The spelling of 53872632 in words is "fifty-three million, eight hundred seventy-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 251 264 271 396 502 542 753 792 813 1004 1084 1506 1626 2008 2168 2259 2439 2761 2981 3012 3252 4518 4878 5522 5962 6024 6504 8283 8943 9036 9756 11044 11924 16566 17886 18072 19512 22088 23848 24849 26829 33132 35772 49698 53658 66264 68021 71544 99396 107316 136042 198792 204063 214632 272084 408126 544168 612189 748231 816252 1224378 1496462 1632504 2244693 2448756 2992924 4489386 4897512 5985848 6734079 8978772 13468158 17957544 26936316 53872632