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56328960 = 283514669
BaseRepresentation
bin1101011011100…
…0001100000000
310220222210210210
43112320030000
5103410011320
65331154120
71252534242
oct326701400
9126883723
1056328960
1129883866
1216a45940
13b89305c
1476a4092
154e2a0e0
hex35b8300

56328960 has 72 divisors (see below), whose sum is σ = 179912880. Its totient is φ = 15020032.

The previous prime is 56328941. The next prime is 56328989. The reversal of 56328960 is 6982365.

It is an unprimeable number.

It is a nontrivial repunit in base 383.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3495 + ... + 11174.

It is an arithmetic number, because the mean of its divisors is an integer number (2498790).

Almost surely, 256328960 is an apocalyptic number.

It is an amenable number.

56328960 is an abundant number, since it is smaller than the sum of its proper divisors (123583920).

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

56328960 is a wasteful number, since it uses less digits than its factorization.

56328960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14693 (or 14679 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 56328960 is about 7505.2621539824. The cubic root of 56328960 is about 383.3339147229. Note that the first 3 decimals are identical.

The spelling of 56328960 in words is "fifty-six million, three hundred twenty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 14669 29338 44007 58676 73345 88014 117352 146690 176028 220035 234704 293380 352056 440070 469408 586760 704112 880140 938816 1173520 1408224 1760280 1877632 2347040 2816448 3520560 3755264 4694080 5632896 7041120 9388160 11265792 14082240 18776320 28164480 56328960