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56462112 = 2532724001
BaseRepresentation
bin1101011101100…
…0101100100000
310221020120110100
43113120230200
5103423241422
65334102400
71253630400
oct327305440
9127216410
1056462112
1129964903
1216aaaa00
13b90b845
1476da800
154e547ac
hex35d8b20

56462112 has 108 divisors (see below), whose sum is σ = 186825366. Its totient is φ = 16128000.

The previous prime is 56462093. The next prime is 56462113. The reversal of 56462112 is 21126465.

56462112 is a `hidden beast` number, since 5 + 646 + 2 + 1 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 55890576 + 571536 = 7476^2 + 756^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56462113) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12112 + ... + 16112.

Almost surely, 256462112 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 56462112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93412683).

56462112 is an abundant number, since it is smaller than the sum of its proper divisors (130363254).

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

56462112 is a wasteful number, since it uses less digits than its factorization.

56462112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4031 (or 4013 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 56462112 is about 7514.1274942604. The cubic root of 56462112 is about 383.6357222492.

Adding to 56462112 its reverse (21126465), we get a palindrome (77588577).

The spelling of 56462112 in words is "fifty-six million, four hundred sixty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4001 4704 7056 8002 12003 14112 16004 24006 28007 32008 36009 48012 56014 64016 72018 84021 96024 112028 128032 144036 168042 192048 196049 224056 252063 288072 336084 384096 392098 448112 504126 576144 588147 672168 784196 896224 1008252 1152288 1176294 1344336 1568392 1764441 2016504 2352588 2688672 3136784 3528882 4033008 4705176 6273568 7057764 8066016 9410352 14115528 18820704 28231056 56462112