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56403552 = 25317219107
BaseRepresentation
bin1101011100101…
…0011001100000
310221010121010110
43113022121200
5103414403202
65332531320
71253264562
oct327123140
9127117113
1056403552
1129924907
1216a80b40
13b8bacaa
1476c3332
154e4226c
hex35ca660

56403552 has 144 divisors (see below), whose sum is σ = 167106240. Its totient is φ = 16607232.

The previous prime is 56403541. The next prime is 56403583. The reversal of 56403552 is 25530465.

It is a super-3 number, since 3×564035523 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 527083 + ... + 527189.

It is an arithmetic number, because the mean of its divisors is an integer number (1160460).

Almost surely, 256403552 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 56403552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83553120).

56403552 is an abundant number, since it is smaller than the sum of its proper divisors (110702688).

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

56403552 is a wasteful number, since it uses less digits than its factorization.

56403552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 56403552 is about 7510.2298233809. The cubic root of 56403552 is about 383.5030463810.

The spelling of 56403552 in words is "fifty-six million, four hundred three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 68 76 96 102 107 114 136 152 204 214 228 272 289 304 321 323 408 428 456 544 578 608 642 646 816 856 867 912 969 1156 1284 1292 1632 1712 1734 1819 1824 1938 2033 2312 2568 2584 3424 3468 3638 3876 4066 4624 5136 5168 5457 5491 6099 6936 7276 7752 8132 9248 10272 10336 10914 10982 12198 13872 14552 15504 16264 16473 21828 21964 24396 27744 29104 30923 31008 32528 32946 34561 43656 43928 48792 58208 61846 65056 65892 69122 87312 87856 92769 97584 103683 123692 131784 138244 174624 175712 185538 195168 207366 247384 263568 276488 371076 414732 494768 527136 552976 587537 742152 829464 989536 1105952 1175074 1484304 1658928 1762611 2350148 2968608 3317856 3525222 4700296 7050444 9400592 14100888 18801184 28201776 56403552