Search a number
-
+
51603568 = 2417193983
BaseRepresentation
bin1100010011011…
…0100001110000
310121002201210021
43010312201300
5101202303233
65042013224
71164423502
oct304664160
9117081707
1051603568
1127146585
1215347214
13a8ca273
146bd3d72
1547e4e2d
hex3136870

51603568 has 40 divisors (see below), whose sum is σ = 106519968. Its totient is φ = 24133632.

The previous prime is 51603553. The next prime is 51603571. The reversal of 51603568 is 86530615.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52005 + ... + 52987.

Almost surely, 251603568 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 51603568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53259984).

51603568 is an abundant number, since it is smaller than the sum of its proper divisors (54916400).

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

51603568 is a wasteful number, since it uses less digits than its factorization.

51603568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 51603568 is about 7183.5623474708. The cubic root of 51603568 is about 372.3001777996.

The spelling of 51603568 in words is "fifty-one million, six hundred three thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 193 272 386 772 983 1544 1966 3088 3281 3932 6562 7864 13124 15728 16711 26248 33422 52496 66844 133688 189719 267376 379438 758876 1517752 3035504 3225223 6450446 12900892 25801784 51603568