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56793464 = 23713217353
BaseRepresentation
bin1101100010100…
…1100101111000
310221212101222122
43120221211320
5104014342324
65345140412
71256510420
oct330514570
9127771878
1056793464
112a070852
121702a708
13b9c6600
147785480
154ebca5e
hex3629978

56793464 has 96 divisors (see below), whose sum is σ = 139929120. Its totient is φ = 21086208.

The previous prime is 56793439. The next prime is 56793467. The reversal of 56793464 is 46439765.

56793464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56793467) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 160712 + ... + 161064.

It is an arithmetic number, because the mean of its divisors is an integer number (1457595).

Almost surely, 256793464 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 56793464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69964560).

56793464 is an abundant number, since it is smaller than the sum of its proper divisors (83135656).

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

56793464 is a wasteful number, since it uses less digits than its factorization.

56793464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 392 counting only the distinct ones).

The product of its digits is 544320, while the sum is 44.

The square root of 56793464 is about 7536.1438415147. The cubic root of 56793464 is about 384.3847236529.

The spelling of 56793464 in words is "fifty-six million, seven hundred ninety-three thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 52 56 68 91 104 119 136 169 182 221 238 338 353 364 442 476 676 706 728 884 952 1183 1352 1412 1547 1768 2366 2471 2824 2873 3094 4589 4732 4942 5746 6001 6188 9178 9464 9884 11492 12002 12376 18356 19768 20111 22984 24004 32123 36712 40222 42007 48008 59657 64246 78013 80444 84014 119314 128492 156026 160888 168028 238628 256984 312052 336056 417599 477256 546091 624104 835198 1014169 1092182 1670396 2028338 2184364 3340792 4056676 4368728 7099183 8113352 14198366 28396732 56793464