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56254912 = 267199631
BaseRepresentation
bin1101011010011…
…0000111000000
310220212001020021
43112212013000
5103400124122
65325423224
71252105330
oct326460700
9126761207
1056254912
112983316a
1216a0ab14
13b86843c
1476850c0
154e131c7
hex35a61c0

56254912 has 56 divisors (see below), whose sum is σ = 128422400. Its totient is φ = 23950080.

The previous prime is 56254909. The next prime is 56254931. The reversal of 56254912 is 21945265.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

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, 88837 + ... + 89467.

Almost surely, 256254912 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 56254912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64211200).

56254912 is an abundant number, since it is smaller than the sum of its proper divisors (72167488).

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

56254912 is a wasteful number, since it uses less digits than its factorization.

56254912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 839 counting only the distinct ones).

The product of its digits is 21600, while the sum is 34.

The square root of 56254912 is about 7500.3274595180. The cubic root of 56254912 is about 383.1658687964.

The spelling of 56254912 in words is "fifty-six million, two hundred fifty-four thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 199 224 398 448 631 796 1262 1393 1592 2524 2786 3184 4417 5048 5572 6368 8834 10096 11144 12736 17668 20192 22288 35336 40384 44576 70672 89152 125569 141344 251138 282688 502276 878983 1004552 1757966 2009104 3515932 4018208 7031864 8036416 14063728 28127456 56254912