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5042831232 = 27337714999
BaseRepresentation
bin1001011001001001…
…10111111110000000
3111000102222100222010
410230210313332000
540311431044412
62152221212520
7235652233605
oct45444677600
914012870863
105042831232
11215860181a
12b88a01140
136249a700a
1435ba506ac
151e7ab733c
hex12c937f80

5042831232 has 128 divisors (see below), whose sum is σ = 13953600000. Its totient is φ = 1612154880.

The previous prime is 5042831231. The next prime is 5042831279. The reversal of 5042831232 is 2321382405.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 5042831232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5042831231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1006269 + ... + 1011267.

It is an arithmetic number, because the mean of its divisors is an integer number (109012500).

Almost surely, 25042831232 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 5042831232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6976800000).

5042831232 is an abundant number, since it is smaller than the sum of its proper divisors (8910768768).

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

5042831232 is a wasteful number, since it uses less digits than its factorization.

5042831232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5124 (or 5112 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 5042831232 is about 71012.8948290379. The cubic root of 5042831232 is about 1714.8447623032.

It can be divided in two parts, 504283 and 1232, that added together give a triangular number (505515 = T1005).

The spelling of 5042831232 in words is "five billion, forty-two million, eight hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 71 74 96 111 128 142 148 192 213 222 284 296 384 426 444 568 592 852 888 1136 1184 1704 1776 2272 2368 2627 3408 3552 4544 4736 4999 5254 6816 7104 7881 9088 9998 10508 13632 14208 14997 15762 19996 21016 27264 29994 31524 39992 42032 59988 63048 79984 84064 119976 126096 159968 168128 184963 239952 252192 319936 336256 354929 369926 479904 504384 554889 639872 709858 739852 959808 1008768 1064787 1109778 1419716 1479704 1919616 2129574 2219556 2839432 2959408 4259148 4439112 5678864 5918816 8518296 8878224 11357728 11837632 13132373 17036592 17756448 22715456 23675264 26264746 34073184 35512896 39397119 45430912 52529492 68146368 71025792 78794238 105058984 136292736 157588476 210117968 315176952 420235936 630353904 840471872 1260707808 1680943744 2521415616 5042831232