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56723628 = 223131773293
BaseRepresentation
bin1101100001100…
…0100010101100
310221201212012010
43120120202230
5104010124003
65343441220
71256100003
oct330304254
9127655163
1056723628
112a023335
1216bb6210
13b9a08a0
147767c3a
154ea7003
hex36188ac

56723628 has 96 divisors (see below), whose sum is σ = 153510336. Its totient is φ = 16146432.

The previous prime is 56723593. The next prime is 56723651. The reversal of 56723628 is 82632765.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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, 193450 + ... + 193742.

It is an arithmetic number, because the mean of its divisors is an integer number (1599066).

Almost surely, 256723628 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 56723628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76755168).

56723628 is an abundant number, since it is smaller than the sum of its proper divisors (96786708).

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

56723628 is a wasteful number, since it uses less digits than its factorization.

56723628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 401 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 56723628 is about 7531.5090121436. The cubic root of 56723628 is about 384.2271063261.

The spelling of 56723628 in words is "fifty-six million, seven hundred twenty-three thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 73 78 102 146 156 204 219 221 292 293 438 442 586 663 876 879 884 949 1172 1241 1326 1758 1898 2482 2652 2847 3516 3723 3796 3809 4964 4981 5694 7446 7618 9962 11388 11427 14892 14943 15236 16133 19924 21389 22854 29886 32266 42778 45708 48399 59772 64167 64532 64753 85556 96798 128334 129506 193596 194259 256668 259012 278057 363613 388518 556114 727226 777036 834171 1090839 1112228 1454452 1668342 2181678 3336684 4363356 4726969 9453938 14180907 18907876 28361814 56723628