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56473344 = 2832127193
BaseRepresentation
bin1101011101101…
…1011100000000
310221021010212100
43113123130000
5103424121334
65334230400
71254005214
oct327333400
9127233770
1056473344
1129972294
1216ab5400
13b9139a5
147700944
154e57c99
hex35db700

56473344 has 108 divisors (see below), whose sum is σ = 164958976. Its totient is φ = 18579456.

The previous prime is 56473343. The next prime is 56473369. The reversal of 56473344 is 44337465.

It is a happy number.

56473344 is a `hidden beast` number, since 5 + 647 + 3 + 3 + 4 + 4 = 666.

56473344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 56473299 and 56473308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56473343) 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 11 ways as a sum of consecutive naturals, for example, 292512 + ... + 292704.

Almost surely, 256473344 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 56473344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82479488).

56473344 is an abundant number, since it is smaller than the sum of its proper divisors (108485632).

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

56473344 is a wasteful number, since it uses less digits than its factorization.

56473344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 325 counting only the distinct ones).

The product of its digits is 120960, while the sum is 36.

The square root of 56473344 is about 7514.8748492573. The cubic root of 56473344 is about 383.6611594293.

The spelling of 56473344 in words is "fifty-six million, four hundred seventy-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 128 144 192 193 254 256 288 381 384 386 508 576 579 762 768 772 1016 1143 1152 1158 1524 1544 1737 2032 2286 2304 2316 3048 3088 3474 4064 4572 4632 6096 6176 6948 8128 9144 9264 12192 12352 13896 16256 18288 18528 24384 24511 24704 27792 32512 36576 37056 48768 49022 49408 55584 73152 73533 74112 97536 98044 111168 146304 147066 148224 196088 220599 222336 292608 294132 392176 441198 444672 588264 784352 882396 1176528 1568704 1764792 2353056 3137408 3529584 4706112 6274816 7059168 9412224 14118336 18824448 28236672 56473344