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51630696 = 233713227
BaseRepresentation
bin1100010011110…
…1001001101000
310121011010000000
43010331021220
5101204140241
65042343000
71164565545
oct304751150
9117133000
1051630696
11271649a7
121535aa60
13a909710
146bddbcc
1547eceb6
hex313d268

51630696 has 128 divisors (see below), whose sum is σ = 157046400. Its totient is φ = 15816384.

The previous prime is 51630679. The next prime is 51630697. The reversal of 51630696 is 69603615.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 51630696.

It is not an unprimeable number, because it can be changed into a prime (51630697) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227335 + ... + 227561.

It is an arithmetic number, because the mean of its divisors is an integer number (1226925).

Almost surely, 251630696 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 51630696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78523200).

51630696 is an abundant number, since it is smaller than the sum of its proper divisors (105415704).

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

51630696 is a wasteful number, since it uses less digits than its factorization.

51630696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 51630696 is about 7185.4502990418. The cubic root of 51630696 is about 372.3654057823.

It can be divided in two parts, 51630 and 696, that added together give a triangular number (52326 = T323).

The spelling of 51630696 in words is "fifty-one million, six hundred thirty thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 227 234 243 312 324 351 454 468 486 648 681 702 729 908 936 972 1053 1362 1404 1458 1816 1944 2043 2106 2187 2724 2808 2916 2951 3159 4086 4212 4374 5448 5832 5902 6129 6318 8172 8424 8748 8853 9477 11804 12258 12636 16344 17496 17706 18387 18954 23608 24516 25272 26559 28431 35412 36774 37908 49032 53118 55161 56862 70824 73548 75816 79677 106236 110322 113724 147096 159354 165483 212472 220644 227448 239031 318708 330966 441288 478062 496449 637416 661932 717093 956124 992898 1323864 1434186 1912248 1985796 2151279 2868372 3971592 4302558 5736744 6453837 8605116 12907674 17210232 25815348 51630696