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56362752 = 2832171439
BaseRepresentation
bin1101011100000…
…0011100000000
310221001112011100
43113000130000
5103412102002
65332014400
71253034615
oct327003400
9127045140
1056362752
11298a7196
1216a61400
13b8a5554
1476b250c
154e3511c
hex35c0700

56362752 has 108 divisors (see below), whose sum is σ = 172186560. Its totient is φ = 17670144.

The previous prime is 56362751. The next prime is 56362781. The reversal of 56362752 is 25726365.

It is a happy number.

It is a super-3 number, since 3×563627523 (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56362751) 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, 38449 + ... + 39887.

It is an arithmetic number, because the mean of its divisors is an integer number (1594320).

Almost surely, 256362752 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 56362752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86093280).

56362752 is an abundant number, since it is smaller than the sum of its proper divisors (115823808).

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

56362752 is a wasteful number, since it uses less digits than its factorization.

56362752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1461 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 56362752 is about 7507.5130369517. The cubic root of 56362752 is about 383.4105539874.

The spelling of 56362752 in words is "fifty-six million, three hundred sixty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 544 576 612 768 816 1088 1152 1224 1439 1632 2176 2304 2448 2878 3264 4317 4352 4896 5756 6528 8634 9792 11512 12951 13056 17268 19584 23024 24463 25902 34536 39168 46048 48926 51804 69072 73389 92096 97852 103608 138144 146778 184192 195704 207216 220167 276288 293556 368384 391408 414432 440334 552576 587112 782816 828864 880668 1105152 1174224 1565632 1657728 1761336 2348448 3131264 3315456 3522672 4696896 6262528 7045344 9393792 14090688 18787584 28181376 56362752