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56621952 = 2732232137
BaseRepresentation
bin1101011111111…
…1101110000000
310221112200201100
43113333232000
5103443400302
65341334400
71255164402
oct327775600
9127480640
1056621952
1129a63a02
1216b67400
13b96651a
14773cb72
154e86d1c
hex35ffb80

56621952 has 96 divisors (see below), whose sum is σ = 170099280. Its totient is φ = 18044928.

The previous prime is 56621947. The next prime is 56621953. The reversal of 56621952 is 25912665.

56621952 is a `hidden beast` number, since 566 + 2 + 1 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 (56621953) 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, 25428 + ... + 27564.

Almost surely, 256621952 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 56621952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85049640).

56621952 is an abundant number, since it is smaller than the sum of its proper divisors (113477328).

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

56621952 is a wasteful number, since it uses less digits than its factorization.

56621952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2165 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 56621952 is about 7524.7559428861. The cubic root of 56621952 is about 383.9973958157.

The spelling of 56621952 in words is "fifty-six million, six hundred twenty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 276 288 368 384 414 552 576 736 828 1104 1152 1472 1656 2137 2208 2944 3312 4274 4416 6411 6624 8548 8832 12822 13248 17096 19233 25644 26496 34192 38466 49151 51288 68384 76932 98302 102576 136768 147453 153864 196604 205152 273536 294906 307728 393208 410304 442359 589812 615456 786416 820608 884718 1179624 1230912 1572832 1769436 2359248 2461824 3145664 3538872 4718496 6291328 7077744 9436992 14155488 18873984 28310976 56621952