Search a number
-
+
56802636 = 223211191751
BaseRepresentation
bin1101100010101…
…1110101001100
310221212212120100
43120223311030
5104020141021
65345251100
71256546232
oct330536514
9127785510
1056802636
112a077730
1217033a90
13b9ca837
147788952
154ec0626
hex362bd4c

56802636 has 72 divisors (see below), whose sum is σ = 157667328. Its totient is φ = 17100000.

The previous prime is 56802631. The next prime is 56802643. The reversal of 56802636 is 63620865.

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

It is a self number, because there is not a number n which added to its sum of digits gives 56802636.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56802631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75261 + ... + 76011.

It is an arithmetic number, because the mean of its divisors is an integer number (2189824).

Almost surely, 256802636 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 56802636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78833664).

56802636 is an abundant number, since it is smaller than the sum of its proper divisors (100864692).

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

56802636 is a wasteful number, since it uses less digits than its factorization.

56802636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 56802636 is about 7536.7523509798. The cubic root of 56802636 is about 384.4054149242.

The spelling of 56802636 in words is "fifty-six million, eight hundred two thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 191 198 382 396 573 751 764 1146 1502 1719 2101 2253 2292 3004 3438 4202 4506 6303 6759 6876 8261 8404 9012 12606 13518 16522 18909 24783 25212 27036 33044 37818 49566 74349 75636 99132 143441 148698 286882 297396 430323 573764 860646 1290969 1577851 1721292 2581938 3155702 4733553 5163876 6311404 9467106 14200659 18934212 28401318 56802636