Search a number
-
+
51523992 = 23331359311
BaseRepresentation
bin1100010010001…
…1000110011000
310120221200122000
43010203012120
5101142231432
65040201000
71163642502
oct304430630
9116850560
1051523992
11270a1813
1215309160
13a89cc90
146bb2d72
1547cb57c
hex3123198

51523992 has 128 divisors (see below), whose sum is σ = 157248000. Its totient is φ = 15534720.

The previous prime is 51523987. The next prime is 51524021. The reversal of 51523992 is 29932515.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165517 + ... + 165827.

It is an arithmetic number, because the mean of its divisors is an integer number (1228500).

Almost surely, 251523992 is an apocalyptic number.

51523992 is a gapful number since it is divisible by the number (52) 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 51523992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78624000).

51523992 is an abundant number, since it is smaller than the sum of its proper divisors (105724008).

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

51523992 is a wasteful number, since it uses less digits than its factorization.

51523992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 388 counting only the distinct ones).

The product of its digits is 24300, while the sum is 36.

The square root of 51523992 is about 7178.0214544121. The cubic root of 51523992 is about 372.1087091239.

The spelling of 51523992 in words is "fifty-one million, five hundred twenty-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 59 72 78 104 108 117 118 156 177 216 234 236 311 312 351 354 468 472 531 622 702 708 767 933 936 1062 1244 1404 1416 1534 1593 1866 2124 2301 2488 2799 2808 3068 3186 3732 4043 4248 4602 5598 6136 6372 6903 7464 8086 8397 9204 11196 12129 12744 13806 16172 16794 18349 18408 20709 22392 24258 27612 32344 33588 36387 36698 41418 48516 55047 55224 67176 72774 73396 82836 97032 109161 110094 145548 146792 165141 165672 218322 220188 238537 291096 330282 436644 440376 477074 495423 660564 715611 873288 954148 990846 1321128 1431222 1908296 1981692 2146833 2862444 3963384 4293666 5724888 6440499 8587332 12880998 17174664 25761996 51523992