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56657748 = 223747113127
BaseRepresentation
bin1101100000100…
…0011101010100
310221121111211010
43120020131110
5104001021443
65342212220
71255403640
oct330103524
9127544733
1056657748
1129a88894
1216b84070
13b9798c4
14774bc20
154e92733
hex3608754

56657748 has 96 divisors (see below), whose sum is σ = 156893184. Its totient is φ = 15579648.

The previous prime is 56657743. The next prime is 56657761. The reversal of 56657748 is 84775665.

It is a junction number, because it is equal to n+sod(n) for n = 56657697 and 56657706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56657743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446061 + ... + 446187.

It is an arithmetic number, because the mean of its divisors is an integer number (1634304).

Almost surely, 256657748 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 56657748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78446592).

56657748 is an abundant number, since it is smaller than the sum of its proper divisors (100235436).

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

56657748 is a wasteful number, since it uses less digits than its factorization.

56657748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 299 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 48.

The square root of 56657748 is about 7527.1341159833. The cubic root of 56657748 is about 384.0782989206.

The spelling of 56657748 in words is "fifty-six million, six hundred fifty-seven thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 113 127 141 188 226 254 282 329 339 381 452 508 564 658 678 762 791 889 987 1316 1356 1524 1582 1778 1974 2373 2667 3164 3556 3948 4746 5311 5334 5969 9492 10622 10668 11938 14351 15933 17907 21244 23876 28702 31866 35814 37177 41783 43053 57404 63732 71628 74354 83566 86106 100457 111531 125349 148708 167132 172212 200914 223062 250698 301371 401828 446124 501396 602742 674497 1205484 1348994 2023491 2697988 4046982 4721479 8093964 9442958 14164437 18885916 28328874 56657748