Search a number
-
+
51255952 = 24111737463
BaseRepresentation
bin1100001110000…
…1101010010000
310120110001221121
43003201222100
5101110142302
65030332024
71161445156
oct303415220
9116401847
1051255952
1126a293a0
12151ba014
13a807c87
146b433d6
154776e37
hex30e1a90

51255952 has 80 divisors (see below), whose sum is σ = 118063872. Its totient is φ = 21288960.

The previous prime is 51255943. The next prime is 51255959. The reversal of 51255952 is 25955215.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (51255959) 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, 110473 + ... + 110935.

Almost surely, 251255952 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 51255952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59031936).

51255952 is an abundant number, since it is smaller than the sum of its proper divisors (66807920).

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

51255952 is a wasteful number, since it uses less digits than its factorization.

51255952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 530 counting only the distinct ones).

The product of its digits is 22500, while the sum is 34.

The square root of 51255952 is about 7159.3262252813. The cubic root of 51255952 is about 371.4623210809.

The spelling of 51255952 in words is "fifty-one million, two hundred fifty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 17 22 34 37 44 68 74 88 136 148 176 187 272 296 374 407 463 592 629 748 814 926 1258 1496 1628 1852 2516 2992 3256 3704 5032 5093 6512 6919 7408 7871 10064 10186 13838 15742 17131 20372 27676 31484 34262 40744 55352 62968 68524 81488 86581 110704 125936 137048 173162 188441 274096 291227 346324 376882 582454 692648 753764 1164908 1385296 1507528 2329816 3015056 3203497 4659632 6406994 12813988 25627976 51255952