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56998968 = 2331332347
BaseRepresentation
bin1101100101101…
…1110000111000
310222020211212220
43121123300320
5104042431333
65353404040
71261324515
oct331336070
9128224786
1056998968
112a1a1194
1217109620
13ba69000
1477da30c
15500d8b3
hex365bc38

56998968 has 128 divisors (see below), whose sum is σ = 164505600. Its totient is φ = 16418688.

The previous prime is 56998961. The next prime is 56998969. The reversal of 56998968 is 86989965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56998961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1212721 + ... + 1212767.

It is an arithmetic number, because the mean of its divisors is an integer number (1285200).

Almost surely, 256998968 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 56998968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82252800).

56998968 is an abundant number, since it is smaller than the sum of its proper divisors (107506632).

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

56998968 is a wasteful number, since it uses less digits than its factorization.

56998968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 88 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 60.

The square root of 56998968 is about 7549.7660890918. The cubic root of 56998968 is about 384.8477905095.

The spelling of 56998968 in words is "fifty-six million, nine hundred ninety-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 47 52 69 78 92 94 104 138 141 156 169 184 188 276 282 299 312 338 376 507 552 564 598 611 676 897 1014 1081 1128 1196 1222 1352 1794 1833 2028 2162 2197 2392 2444 3243 3588 3666 3887 4056 4324 4394 4888 6486 6591 7176 7332 7774 7943 8648 8788 11661 12972 13182 14053 14664 15548 15886 17576 23322 23829 25944 26364 28106 31096 31772 42159 46644 47658 50531 52728 56212 63544 84318 93288 95316 101062 103259 112424 151593 168636 182689 190632 202124 206518 303186 309777 337272 365378 404248 413036 548067 606372 619554 730756 826072 1096134 1212744 1239108 1461512 2192268 2374957 2478216 4384536 4749914 7124871 9499828 14249742 18999656 28499484 56998968