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50131152 = 243237972
BaseRepresentation
bin1011111100111…
…1000011010000
310111022221000100
42333033003100
5100313144102
64550252400
71146051651
oct277170320
9114287010
1050131152
1126330305
1214957100
13a503006
14692d528
154603a1c
hex2fcf0d0

50131152 has 90 divisors (see below), whose sum is σ = 145590198. Its totient is φ = 16091136.

The previous prime is 50131129. The next prime is 50131153. The reversal of 50131152 is 25113105.

It can be written as a sum of positive squares in 3 ways, for example, as 14561856 + 35569296 = 3816^2 + 5964^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50131153) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 516768 + ... + 516864.

Almost surely, 250131152 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 50131152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72795099).

50131152 is an abundant number, since it is smaller than the sum of its proper divisors (95459046).

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

50131152 is a wasteful number, since it uses less digits than its factorization.

50131152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 50131152 is about 7080.3355852671. The cubic root of 50131152 is about 368.7249807022.

Adding to 50131152 its reverse (25113105), we get a palindrome (75244257).

The spelling of 50131152 in words is "fifty million, one hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 97 111 144 148 194 222 291 296 333 388 444 582 592 666 776 873 888 1164 1332 1552 1746 1776 2328 2664 3492 3589 4656 5328 6984 7178 9409 10767 13968 14356 18818 21534 28227 28712 32301 37636 43068 56454 57424 64602 75272 84681 86136 112908 129204 150544 169362 172272 225816 258408 338724 348133 451632 516816 677448 696266 1044399 1354896 1392532 2088798 2785064 3133197 4177596 5570128 6266394 8355192 12532788 16710384 25065576 50131152