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56120832 = 293219641
BaseRepresentation
bin1101011000010…
…1011000000000
310220121020022100
43112011120000
5103331331312
65322510400
71251006405
oct326053000
9126536270
1056120832
1129751459
1216965400
13b81c3c1
14764c2ac
154dd85dc
hex3585600

56120832 has 120 divisors (see below), whose sum is σ = 170759160. Its totient is φ = 17694720.

The previous prime is 56120821. The next prime is 56120837. The reversal of 56120832 is 23802165.

56120832 is a `hidden beast` number, since 561 + 20 + 83 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 56120796 and 56120805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56120837) 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, 87232 + ... + 87872.

It is an arithmetic number, because the mean of its divisors is an integer number (1422993).

Almost surely, 256120832 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 56120832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85379580).

56120832 is an abundant number, since it is smaller than the sum of its proper divisors (114638328).

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

56120832 is a wasteful number, since it uses less digits than its factorization.

56120832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 56120832 is about 7491.3838507982. The cubic root of 56120832 is about 382.8612094742.

Adding to 56120832 its reverse (23802165), we get a palindrome (79922997).

The spelling of 56120832 in words is "fifty-six million, one hundred twenty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 641 684 768 912 1152 1216 1282 1368 1536 1824 1923 2304 2432 2564 2736 3648 3846 4608 4864 5128 5472 5769 7296 7692 9728 10256 10944 11538 12179 14592 15384 20512 21888 23076 24358 29184 30768 36537 41024 43776 46152 48716 61536 73074 82048 87552 92304 97432 109611 123072 146148 164096 184608 194864 219222 246144 292296 328192 369216 389728 438444 492288 584592 738432 779456 876888 984576 1169184 1476864 1558912 1753776 2338368 2953728 3117824 3507552 4676736 6235648 7015104 9353472 14030208 18706944 28060416 56120832