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56222976 = 283193853
BaseRepresentation
bin1101011001111…
…0010100000000
310220210102102110
43112132110000
5103343113401
65325015320
71251613245
oct326362400
9126712373
1056222976
1129811177
12169b4540
13b856a44
1476775cc
154e089d6
hex359e500

56222976 has 72 divisors (see below), whose sum is σ = 157551520. Its totient is φ = 17750016.

The previous prime is 56222953. The next prime is 56222981. The reversal of 56222976 is 67922265.

It is a happy number.

It is a super-2 number, since 2×562229762 = 6322046060593152, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 12666 + ... + 16518.

Almost surely, 256222976 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 56222976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78775760).

56222976 is an abundant number, since it is smaller than the sum of its proper divisors (101328544).

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

56222976 is a wasteful number, since it uses less digits than its factorization.

56222976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3891 (or 3877 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 56222976 is about 7498.1981835638. The cubic root of 56222976 is about 383.0933471202.

The spelling of 56222976 in words is "fifty-six million, two hundred twenty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 1216 1824 2432 3648 3853 4864 7296 7706 11559 14592 15412 23118 30824 46236 61648 73207 92472 123296 146414 184944 219621 246592 292828 369888 439242 493184 585656 739776 878484 986368 1171312 1479552 1756968 2342624 2959104 3513936 4685248 7027872 9370496 14055744 18740992 28111488 56222976