Search a number
-
+
50761632 = 2533137461
BaseRepresentation
bin1100000110100…
…0111110100000
310112111221212110
43001220332200
5100443333012
65011555320
71154316045
oct301507640
9115457773
1050761632
1126720a69
1214bbbb40
13a693c8c
146a551cc
1546ca73c
hex3068fa0

50761632 has 96 divisors (see below), whose sum is σ = 141571584. Its totient is φ = 15897600.

The previous prime is 50761619. The next prime is 50761639. The reversal of 50761632 is 23616705.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 50761632.

It is not an unprimeable number, because it can be changed into a prime (50761639) by changing a digit.

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, 109882 + ... + 110342.

It is an arithmetic number, because the mean of its divisors is an integer number (1474704).

Almost surely, 250761632 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 50761632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70785792).

50761632 is an abundant number, since it is smaller than the sum of its proper divisors (90809952).

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

50761632 is a wasteful number, since it uses less digits than its factorization.

50761632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 50761632 is about 7124.7197839634. The cubic root of 50761632 is about 370.2643156413.

The spelling of 50761632 in words is "fifty million, seven hundred sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 37 48 62 74 93 96 111 124 148 186 222 248 296 372 444 461 496 592 744 888 922 992 1147 1184 1383 1488 1776 1844 2294 2766 2976 3441 3552 3688 4588 5532 6882 7376 9176 11064 13764 14291 14752 17057 18352 22128 27528 28582 34114 36704 42873 44256 51171 55056 57164 68228 85746 102342 110112 114328 136456 171492 204684 228656 272912 342984 409368 457312 528767 545824 685968 818736 1057534 1371936 1586301 1637472 2115068 3172602 4230136 6345204 8460272 12690408 16920544 25380816 50761632