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5014656 = 27331451
BaseRepresentation
bin10011001000010010000000
3100102202211000
4103020102000
52240432111
6255252000
760423663
oct23102200
910382730
105014656
112915649
12181a000
13106766a
149476da
15690c56
hex4c8480

5014656 has 64 divisors (see below), whose sum is σ = 14810400. Its totient is φ = 1670400.

The previous prime is 5014579. The next prime is 5014663. The reversal of 5014656 is 6564105.

It is a happy number.

5014656 is a `hidden beast` number, since 5 + 0 + 1 + 4 + 656 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2731 + ... + 4181.

Almost surely, 25014656 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 5014656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7405200).

5014656 is an abundant number, since it is smaller than the sum of its proper divisors (9795744).

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

5014656 is a wasteful number, since it uses less digits than its factorization.

5014656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5014656 is about 2239.3427607224. The cubic root of 5014656 is about 171.1645077384.

It can be divided in two parts, 50 and 14656, that added together give a triangular number (14706 = T171).

The spelling of 5014656 in words is "five million, fourteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1451 1728 2902 3456 4353 5804 8706 11608 13059 17412 23216 26118 34824 39177 46432 52236 69648 78354 92864 104472 139296 156708 185728 208944 278592 313416 417888 557184 626832 835776 1253664 1671552 2507328 5014656