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51902496 = 25321710601
BaseRepresentation
bin1100010111111…
…1100000100000
310121122220211200
43011333200200
5101241334441
65052241200
71200110142
oct305774040
9117586750
1051902496
1127330128
1215470200
13a9a3349
146c70c92
1548537b6
hex317f820

51902496 has 72 divisors (see below), whose sum is σ = 156294684. Its totient is φ = 16281600.

The previous prime is 51902449. The next prime is 51902497. The reversal of 51902496 is 69420915.

It can be written as a sum of positive squares in 2 ways, for example, as 45968400 + 5934096 = 6780^2 + 2436^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 51902496.

It is not an unprimeable number, because it can be changed into a prime (51902497) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 405 + ... + 10196.

Almost surely, 251902496 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 51902496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78147342).

51902496 is an abundant number, since it is smaller than the sum of its proper divisors (104392188).

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

51902496 is a wasteful number, since it uses less digits than its factorization.

51902496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10634 (or 10623 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 51902496 is about 7204.3386927601. The cubic root of 51902496 is about 373.0176781986.

The spelling of 51902496 in words is "fifty-one million, nine hundred two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 10601 21202 31803 42404 63606 84808 95409 127212 169616 180217 190818 254424 339232 360434 381636 508848 540651 720868 763272 1017696 1081302 1441736 1526544 1621953 2162604 2883472 3053088 3243906 4325208 5766944 6487812 8650416 12975624 17300832 25951248 51902496