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56892726 = 2331119712
BaseRepresentation
bin1101100100000…
…1110100110110
310222001110011000
43121001310312
5104031031401
65351224130
71260403002
oct331016466
9128043130
1056892726
112a129390
1217078046
13ba2c847
1477ad702
154edc186
hex3641d36

56892726 has 96 divisors (see below), whose sum is σ = 147254400. Its totient is φ = 16102800.

The previous prime is 56892721. The next prime is 56892739. The reversal of 56892726 is 62729865.

56892726 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×568927262 = 6473564543422152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56892721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 801271 + ... + 801341.

It is an arithmetic number, because the mean of its divisors is an integer number (1533900).

Almost surely, 256892726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56892726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73627200).

56892726 is an abundant number, since it is smaller than the sum of its proper divisors (90361674).

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

56892726 is a wasteful number, since it uses less digits than its factorization.

56892726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 106 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 56892726 is about 7542.7266953006. The cubic root of 56892726 is about 384.6085322082.

The spelling of 56892726 in words is "fifty-six million, eight hundred ninety-two thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 71 99 114 142 171 198 209 213 297 342 418 426 513 594 627 639 781 1026 1254 1278 1349 1562 1881 1917 2343 2698 3762 3834 4047 4686 5041 5643 7029 8094 10082 11286 12141 14058 14839 15123 21087 24282 29678 30246 36423 42174 44517 45369 55451 72846 89034 90738 95779 110902 133551 136107 166353 191558 267102 272214 287337 332706 400653 499059 574674 801306 862011 998118 1053569 1497177 1724022 2107138 2586033 2994354 3160707 5172066 6321414 9482121 18964242 28446363 56892726