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56726838 = 23373147103
BaseRepresentation
bin1101100001100…
…1010100110110
310221202000121000
43120121110312
5104010224323
65343504130
71256112240
oct330312466
9127660530
1056726838
112a025793
1216bb8046
13b9a219c
147769090
154ea7e43
hex3619536

56726838 has 128 divisors (see below), whose sum is σ = 153354240. Its totient is φ = 15202080.

The previous prime is 56726797. The next prime is 56726843. The reversal of 56726838 is 83862765.

56726838 is a `hidden beast` number, since 567 + 2 + 6 + 83 + 8 = 666.

56726838 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 56726793 and 56726802.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 550695 + ... + 550797.

It is an arithmetic number, because the mean of its divisors is an integer number (1198080).

Almost surely, 256726838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56726838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76677120).

56726838 is an abundant number, since it is smaller than the sum of its proper divisors (96627402).

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

56726838 is a wasteful number, since it uses less digits than its factorization.

56726838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 193 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 56726838 is about 7531.7221138329. The cubic root of 56726838 is about 384.2343540157.

The spelling of 56726838 in words is "fifty-six million, seven hundred twenty-six thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 47 54 62 63 93 94 103 126 141 186 189 206 217 279 282 309 329 378 423 434 558 618 651 658 721 837 846 927 987 1269 1302 1442 1457 1674 1854 1953 1974 2163 2538 2781 2914 2961 3193 3906 4326 4371 4841 5562 5859 5922 6386 6489 8742 8883 9579 9682 10199 11718 12978 13113 14523 17766 19158 19467 20398 22351 26226 28737 29046 30597 33887 38934 39339 43569 44702 57474 61194 67053 67774 78678 86211 87138 91791 101661 130707 134106 150071 172422 183582 201159 203322 261414 275373 300142 304983 402318 450213 550746 603477 609966 900426 914949 1050497 1206954 1350639 1829898 2100994 2701278 3151491 4051917 6302982 8103834 9454473 18908946 28363419 56726838