[go: up one dir, main page]

Search a number
-
+
51260608 = 267313691
BaseRepresentation
bin1100001110001…
…0110011000000
310120110022100001
43003202303000
5101110314413
65030405344
71161464560
oct303426300
9116408301
1051260608
1126a31943
1215200854
13a80a129
146b44da0
1547784dd
hex30e2cc0

51260608 has 56 divisors (see below), whose sum is σ = 120034304. Its totient is φ = 21254400.

The previous prime is 51260591. The next prime is 51260621. The reversal of 51260608 is 80606215.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 12043 + ... + 15733.

Almost surely, 251260608 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 51260608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60017152).

51260608 is an abundant number, since it is smaller than the sum of its proper divisors (68773696).

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

51260608 is a wasteful number, since it uses less digits than its factorization.

51260608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3741 (or 3731 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 51260608 is about 7159.6513881613. The cubic root of 51260608 is about 371.4735684004.

The spelling of 51260608 in words is "fifty-one million, two hundred sixty thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 434 448 496 868 992 1736 1984 3472 3691 6944 7382 13888 14764 25837 29528 51674 59056 103348 114421 118112 206696 228842 236224 413392 457684 800947 826784 915368 1601894 1653568 1830736 3203788 3661472 6407576 7322944 12815152 25630304 51260608