Search a number
-
+
56929950 = 232527113153
BaseRepresentation
bin1101100100101…
…0111010011110
310222010100012200
43121022322132
5104033224300
65352112330
71260616350
oct331127236
9128110180
1056929950
112a154350
12170956a6
13ba4377c
1477bd0d0
154ee8200
hex364ae9e

56929950 has 288 divisors, whose sum is σ = 200558592. Its totient is φ = 11232000.

The previous prime is 56929933. The next prime is 56930021. The reversal of 56929950 is 5992965.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 56929896 and 56929905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1074124 + ... + 1074176.

It is an arithmetic number, because the mean of its divisors is an integer number (696384).

Almost surely, 256929950 is an apocalyptic number.

56929950 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 56929950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100279296).

56929950 is an abundant number, since it is smaller than the sum of its proper divisors (143628642).

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

56929950 is a wasteful number, since it uses less digits than its factorization.

56929950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 56929950 is about 7545.1938344883. The cubic root of 56929950 is about 384.6923949897.

The spelling of 56929950 in words is "fifty-six million, nine hundred twenty-nine thousand, nine hundred fifty".