Search a number
-
+
56035962 = 2341911811
BaseRepresentation
bin1101010111000…
…0101001111010
310220102220220000
43111300221322
5103321122322
65321013430
71250204103
oct325605172
9126386800
1056035962
11296a3714
1216924276
13b7bc898
1476293aa
154dbd3ac
hex3570a7a

56035962 has 40 divisors (see below), whose sum is σ = 126289152. Its totient is φ = 18570600.

The previous prime is 56035943. The next prime is 56035979. The reversal of 56035962 is 26953065.

56035962 is a `hidden beast` number, since 5 + 60 + 3 + 596 + 2 = 666.

It is a super-3 number, since 3×560359623 (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30037 + ... + 31847.

Almost surely, 256035962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56035962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63144576).

56035962 is an abundant number, since it is smaller than the sum of its proper divisors (70253190).

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

56035962 is a wasteful number, since it uses less digits than its factorization.

56035962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 56035962 is about 7485.7172001085. The cubic root of 56035962 is about 382.6681152577.

The spelling of 56035962 in words is "fifty-six million, thirty-five thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 191 382 573 1146 1719 1811 3438 3622 5157 5433 10314 10866 15471 16299 30942 32598 48897 97794 146691 293382 345901 691802 1037703 2075406 3113109 6226218 9339327 18678654 28017981 56035962