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53085696 = 2931719107
BaseRepresentation
bin1100101010000…
…0011000000000
310200220000212220
43022200120000
5102042220241
65133451040
71213135536
oct312403000
9120800786
1053085696
1127a69084
1215940a80
13acc8a71
14709c156
1549d9166
hex32a0600

53085696 has 160 divisors (see below), whose sum is σ = 159096960. Its totient is φ = 15630336.

The previous prime is 53085667. The next prime is 53085727. The reversal of 53085696 is 69658035.

It is a super-2 number, since 2×530856962 = 5636182239608832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 496075 + ... + 496181.

It is an arithmetic number, because the mean of its divisors is an integer number (994356).

Almost surely, 253085696 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 53085696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79548480).

53085696 is an abundant number, since it is smaller than the sum of its proper divisors (106011264).

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

53085696 is a wasteful number, since it uses less digits than its factorization.

53085696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 53085696 is about 7285.9931375208. The cubic root of 53085696 is about 375.8309183947.

The spelling of 53085696 in words is "fifty-three million, eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 64 68 76 96 102 107 114 128 136 152 192 204 214 228 256 272 304 321 323 384 408 428 456 512 544 608 642 646 768 816 856 912 969 1088 1216 1284 1292 1536 1632 1712 1819 1824 1938 2033 2176 2432 2568 2584 3264 3424 3638 3648 3876 4066 4352 4864 5136 5168 5457 6099 6528 6848 7276 7296 7752 8132 8704 9728 10272 10336 10914 12198 13056 13696 14552 14592 15504 16264 20544 20672 21828 24396 26112 27392 29104 29184 31008 32528 34561 41088 41344 43656 48792 54784 58208 62016 65056 69122 82176 82688 87312 97584 103683 116416 124032 130112 138244 164352 165376 174624 195168 207366 232832 248064 260224 276488 349248 390336 414732 465664 496128 520448 552976 698496 780672 829464 931328 1040896 1105952 1396992 1561344 1658928 2211904 2793984 3122688 3317856 4423808 6635712 8847616 13271424 17695232 26542848 53085696