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51397344 = 2532179997
BaseRepresentation
bin1100010000010…
…0001011100000
310120201020220100
43010010023200
5101124203334
65033342400
71162604325
oct304041340
9116636810
1051397344
1127015649
1215267a00
13a85743b
146b7cb4c
1547a3c99
hex31042e0

51397344 has 72 divisors (see below), whose sum is σ = 147125160. Its totient is φ = 17019648.

The previous prime is 51397289. The next prime is 51397363. The reversal of 51397344 is 44379315.

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 junction number, because it is equal to n+sod(n) for n = 51397299 and 51397308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51054 + ... + 52050.

It is an arithmetic number, because the mean of its divisors is an integer number (2043405).

Almost surely, 251397344 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 51397344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73562580).

51397344 is an abundant number, since it is smaller than the sum of its proper divisors (95727816).

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

51397344 is a wasteful number, since it uses less digits than its factorization.

51397344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1181 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 51397344 is about 7169.1940969679. The cubic root of 51397344 is about 371.8035730247.

The spelling of 51397344 in words is "fifty-one million, three hundred ninety-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 179 288 358 537 716 997 1074 1432 1611 1994 2148 2864 2991 3222 3988 4296 5728 5982 6444 7976 8592 8973 11964 12888 15952 17184 17946 23928 25776 31904 35892 47856 51552 71784 95712 143568 178463 287136 356926 535389 713852 1070778 1427704 1606167 2141556 2855408 3212334 4283112 5710816 6424668 8566224 12849336 17132448 25698672 51397344