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5056776 = 233341571
BaseRepresentation
bin10011010010100100001000
3100111220121000
4103102210020
52243304101
6300215000
760660534
oct23224410
910456530
105056776
11294425a
12183a460
13108089a
14958bc4
1569d486
hex4d2908

5056776 has 64 divisors (see below), whose sum is σ = 14414400. Its totient is φ = 1641600.

The previous prime is 5056771. The next prime is 5056781. The reversal of 5056776 is 6776505.

5056776 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5056771) and next prime (5056781).

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 5056776.

It is not an unprimeable number, because it can be changed into a prime (5056771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8571 + ... + 9141.

It is an arithmetic number, because the mean of its divisors is an integer number (225225).

Almost surely, 25056776 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 5056776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7207200).

5056776 is an abundant number, since it is smaller than the sum of its proper divisors (9357624).

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

5056776 is a wasteful number, since it uses less digits than its factorization.

5056776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 5056776 is about 2248.7276402446. The cubic root of 5056776 is about 171.6423974656.

It can be divided in two parts, 5056 and 776, that added together give a cube (5832 = 183).

The spelling of 5056776 in words is "five million, fifty-six thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 492 571 738 984 1107 1142 1476 1713 2214 2284 2952 3426 4428 4568 5139 6852 8856 10278 13704 15417 20556 23411 30834 41112 46822 61668 70233 93644 123336 140466 187288 210699 280932 421398 561864 632097 842796 1264194 1685592 2528388 5056776