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56162304 = 2113211277
BaseRepresentation
bin1101011000111…
…1100000000000
310220200100012100
43112033200000
5103334143204
65323430400
71251241332
oct326174000
9126610170
1056162304
112977a630
1216985400
13b835243
14765d452
154de5a39
hex358f800

56162304 has 144 divisors (see below), whose sum is σ = 177591960. Its totient is φ = 16957440.

The previous prime is 56162303. The next prime is 56162329. The reversal of 56162304 is 40326165.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56162303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202614 + ... + 202890.

Almost surely, 256162304 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 56162304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88795980).

56162304 is an abundant number, since it is smaller than the sum of its proper divisors (121429656).

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

56162304 is a wasteful number, since it uses less digits than its factorization.

56162304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 56162304 is about 7494.1513195291. The cubic root of 56162304 is about 382.9554947866.

Adding to 56162304 its reverse (40326165), we get a palindrome (96488469).

The spelling of 56162304 in words is "fifty-six million, one hundred sixty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 277 288 352 384 396 512 528 554 576 704 768 792 831 1024 1056 1108 1152 1408 1536 1584 1662 2048 2112 2216 2304 2493 2816 3047 3072 3168 3324 4224 4432 4608 4986 5632 6094 6144 6336 6648 8448 8864 9141 9216 9972 11264 12188 12672 13296 16896 17728 18282 18432 19944 22528 24376 25344 26592 27423 33792 35456 36564 39888 48752 50688 53184 54846 67584 70912 73128 79776 97504 101376 106368 109692 141824 146256 159552 195008 202752 212736 219384 283648 292512 319104 390016 425472 438768 567296 585024 638208 780032 850944 877536 1170048 1276416 1560064 1701888 1755072 2340096 2552832 3120128 3510144 4680192 5105664 6240256 7020288 9360384 14040576 18720768 28081152 56162304