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56352150 = 23252971291
BaseRepresentation
bin1101011011110…
…1110110010110
310221000222121200
43112331312112
5103411232100
65331453330
71252661661
oct326756626
9127028550
1056352150
112989a228
1216a57246
13b8a078a
1476ac6d8
154e31e00
hex35bdd96

56352150 has 72 divisors (see below), whose sum is σ = 153078744. Its totient is φ = 14860800.

The previous prime is 56352097. The next prime is 56352151. The reversal of 56352150 is 5125365.

56352150 is a `hidden beast` number, since 5 + 635 + 21 + 5 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56352151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43005 + ... + 44295.

Almost surely, 256352150 is an apocalyptic number.

56352150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56352150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76539372).

56352150 is an abundant number, since it is smaller than the sum of its proper divisors (96726594).

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

56352150 is a wasteful number, since it uses less digits than its factorization.

56352150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 56352150 is about 7506.8069110641. The cubic root of 56352150 is about 383.3865122610.

The spelling of 56352150 in words is "fifty-six million, three hundred fifty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 97 150 194 225 291 450 485 582 873 970 1291 1455 1746 2425 2582 2910 3873 4365 4850 6455 7275 7746 8730 11619 12910 14550 19365 21825 23238 32275 38730 43650 58095 64550 96825 116190 125227 193650 250454 290475 375681 580950 626135 751362 1127043 1252270 1878405 2254086 3130675 3756810 5635215 6261350 9392025 11270430 18784050 28176075 56352150