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2431104832 = 261337151523
BaseRepresentation
bin1001000011100111…
…1011011101000000
320021102112220212201
42100321323131000
514434330323312
61041123002544
7114150023122
oct22071733500
96242486781
102431104832
111038328052
1257a209454
132c9889790
14190c39212
15e366c557
hex90e7b740

2431104832 has 112 divisors (see below), whose sum is σ = 5381337472. Its totient is φ = 1082419200.

The previous prime is 2431104821. The next prime is 2431104883. The reversal of 2431104832 is 2384011342.

It is a self number, because there is not a number n which added to its sum of digits gives 2431104832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4648123 + ... + 4648645.

It is an arithmetic number, because the mean of its divisors is an integer number (48047656).

Almost surely, 22431104832 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 2431104832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2690668736).

2431104832 is an abundant number, since it is smaller than the sum of its proper divisors (2950232640).

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

2431104832 is a wasteful number, since it uses less digits than its factorization.

2431104832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 2431104832 is about 49306.2352243608. The cubic root of 2431104832 is about 1344.6251461557.

The spelling of 2431104832 in words is "two billion, four hundred thirty-one million, one hundred four thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 148 151 208 296 302 416 481 523 592 604 832 962 1046 1184 1208 1924 1963 2092 2368 2416 3848 3926 4184 4832 5587 6799 7696 7852 8368 9664 11174 13598 15392 15704 16736 19351 22348 27196 30784 31408 33472 38702 44696 54392 62816 72631 77404 78973 89392 108784 125632 145262 154808 157946 178784 217568 251563 290524 309616 315892 357568 435136 503126 581048 619232 631784 1006252 1026649 1162096 1238464 1263568 2012504 2053298 2324192 2527136 2922001 4025008 4106596 4648384 5054272 5844002 8050016 8213192 11688004 16100032 16426384 23376008 32852768 37986013 46752016 65705536 75972026 93504032 151944052 187008064 303888104 607776208 1215552416 2431104832