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56449152 = 2732192579
BaseRepresentation
bin1101011101010…
…1100010000000
310221012220200100
43113111202000
5103422333102
65333522400
71253544534
oct327254200
9127186610
1056449152
11299560a1
1216aa3400
13b905986
1476d5bc4
154e50a1c
hex35d5880

56449152 has 96 divisors (see below), whose sum is σ = 171054000. Its totient is φ = 17819136.

The previous prime is 56449123. The next prime is 56449157. The reversal of 56449152 is 25194465.

56449152 is a `hidden beast` number, since 5 + 644 + 9 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (56449157) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 20599 + ... + 23177.

Almost surely, 256449152 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 56449152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85527000).

56449152 is an abundant number, since it is smaller than the sum of its proper divisors (114604848).

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

56449152 is a wasteful number, since it uses less digits than its factorization.

56449152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618 (or 2603 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 56449152 is about 7513.2650691959. The cubic root of 56449152 is about 383.6063674645.

The spelling of 56449152 in words is "fifty-six million, four hundred forty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1152 1216 1368 1824 2432 2579 2736 3648 5158 5472 7296 7737 10316 10944 15474 20632 21888 23211 30948 41264 46422 49001 61896 82528 92844 98002 123792 147003 165056 185688 196004 247584 294006 330112 371376 392008 441009 495168 588012 742752 784016 882018 990336 1176024 1485504 1568032 1764036 2352048 2971008 3136064 3528072 4704096 6272128 7056144 9408192 14112288 18816384 28224576 56449152