Search a number
-
+
50392992 = 25313149271
BaseRepresentation
bin1100000000111…
…0111110100000
310111211020012010
43000032332200
5100400033432
65000032520
71151222226
oct300167640
9114736163
1050392992
112649a001
1214a62740
13a595250
14699ab16
1546563cc
hex300efa0

50392992 has 96 divisors (see below), whose sum is σ = 143942400. Its totient is φ = 15344640.

The previous prime is 50392963. The next prime is 50393003. The reversal of 50392992 is 29929305.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 50392992.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185817 + ... + 186087.

It is an arithmetic number, because the mean of its divisors is an integer number (1499400).

Almost surely, 250392992 is an apocalyptic number.

50392992 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 50392992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71971200).

50392992 is an abundant number, since it is smaller than the sum of its proper divisors (93549408).

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

50392992 is a wasteful number, since it uses less digits than its factorization.

50392992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 39.

The square root of 50392992 is about 7098.8021524761. The cubic root of 50392992 is about 369.3658286894.

The spelling of 50392992 in words is "fifty million, three hundred ninety-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 149 156 208 271 298 312 416 447 542 596 624 813 894 1084 1192 1248 1626 1788 1937 2168 2384 3252 3523 3576 3874 4336 4768 5811 6504 7046 7152 7748 8672 10569 11622 13008 14092 14304 15496 21138 23244 26016 28184 30992 40379 42276 46488 56368 61984 80758 84552 92976 112736 121137 161516 169104 185952 242274 323032 338208 484548 524927 646064 969096 1049854 1292128 1574781 1938192 2099708 3149562 3876384 4199416 6299124 8398832 12598248 16797664 25196496 50392992