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56322432 = 273343379
BaseRepresentation
bin1101011011011…
…0100110000000
310220222110212000
43112312212000
5103404304212
65331104000
71252506225
oct326664600
9126873760
1056322432
1129879971
1216a42000
13b8900aa
1476a194c
154e281dc
hex35b6980

56322432 has 128 divisors (see below), whose sum is σ = 170544000. Its totient is φ = 18289152.

The previous prime is 56322421. The next prime is 56322439. The reversal of 56322432 is 23422365.

56322432 is a `hidden beast` number, since 5 + 632 + 24 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 56322396 and 56322405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56322439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148419 + ... + 148797.

It is an arithmetic number, because the mean of its divisors is an integer number (1332375).

Almost surely, 256322432 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 56322432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85272000).

56322432 is an abundant number, since it is smaller than the sum of its proper divisors (114221568).

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

56322432 is a wasteful number, since it uses less digits than its factorization.

56322432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 427 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 56322432 is about 7504.8272465127. The cubic root of 56322432 is about 383.3191058782.

Adding to 56322432 its reverse (23422365), we get a palindrome (79744797).

The spelling of 56322432 in words is "fifty-six million, three hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 108 128 129 144 172 192 216 258 288 344 379 384 387 432 516 576 688 758 774 864 1032 1137 1152 1161 1376 1516 1548 1728 2064 2274 2322 2752 3032 3096 3411 3456 4128 4548 4644 5504 6064 6192 6822 8256 9096 9288 10233 12128 12384 13644 16297 16512 18192 18576 20466 24256 24768 27288 32594 36384 37152 40932 48512 48891 49536 54576 65188 72768 74304 81864 97782 109152 130376 145536 146673 148608 163728 195564 218304 260752 293346 327456 391128 436608 440019 521504 586692 654912 782256 880038 1043008 1173384 1309824 1564512 1760076 2086016 2346768 3129024 3520152 4693536 6258048 7040304 9387072 14080608 18774144 28161216 56322432