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55970352 = 2434192273
BaseRepresentation
bin1101010110000…
…0101000110000
310220022120220000
43111200220300
5103312022402
65315350000
71246511604
oct325405060
9126276800
1055970352
1129659399
12168b2300
13b798a69
14760d504
154da8c1c
hex3560a30

55970352 has 100 divisors (see below), whose sum is σ = 170595480. Its totient is φ = 17667072.

The previous prime is 55970351. The next prime is 55970357. The reversal of 55970352 is 25307955.

55970352 is a `hidden beast` number, since 559 + 70 + 35 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (55970351) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23488 + ... + 25760.

Almost surely, 255970352 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 55970352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85297740).

55970352 is an abundant number, since it is smaller than the sum of its proper divisors (114625128).

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

55970352 is a wasteful number, since it uses less digits than its factorization.

55970352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The square root of 55970352 is about 7481.3335709618. Note that the first 3 decimals coincide. The cubic root of 55970352 is about 382.5187072742.

The spelling of 55970352 in words is "fifty-five million, nine hundred seventy thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 304 324 342 432 456 513 648 684 912 1026 1296 1368 1539 2052 2273 2736 3078 4104 4546 6156 6819 8208 9092 12312 13638 18184 20457 24624 27276 36368 40914 43187 54552 61371 81828 86374 109104 122742 129561 163656 172748 184113 245484 259122 327312 345496 368226 388683 490968 518244 690992 736452 777366 981936 1036488 1166049 1472904 1554732 2072976 2332098 2945808 3109464 3498147 4664196 6218928 6996294 9328392 13992588 18656784 27985176 55970352