Search a number
-
+
51256688 = 2472943367
BaseRepresentation
bin1100001110000…
…1110101110000
310120110002221212
43003201311300
5101110203223
65030335252
71161450260
oct303416560
9116402855
1051256688
1126a299aa
12151ba528
13a808402
146b437a0
154777278
hex30e1d70

51256688 has 80 divisors (see below), whose sum is σ = 120468480. Its totient is φ = 20659968.

The previous prime is 51256679. The next prime is 51256691. The reversal of 51256688 is 88665215.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139481 + ... + 139847.

It is an arithmetic number, because the mean of its divisors is an integer number (1505856).

Almost surely, 251256688 is an apocalyptic number.

51256688 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51256688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60234240).

51256688 is an abundant number, since it is smaller than the sum of its proper divisors (69211792).

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

51256688 is a wasteful number, since it uses less digits than its factorization.

51256688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 448 counting only the distinct ones).

The product of its digits is 115200, while the sum is 41.

The square root of 51256688 is about 7159.3776265818. The cubic root of 51256688 is about 371.4640990530.

The spelling of 51256688 in words is "fifty-one million, two hundred fifty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 43 56 58 86 112 116 172 203 232 301 344 367 406 464 602 688 734 812 1204 1247 1468 1624 2408 2494 2569 2936 3248 4816 4988 5138 5872 8729 9976 10276 10643 15781 17458 19952 20552 21286 31562 34916 41104 42572 63124 69832 74501 85144 110467 126248 139664 149002 170288 220934 252496 298004 441868 457649 596008 883736 915298 1192016 1767472 1830596 3203543 3661192 6407086 7322384 12814172 25628344 51256688