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2431940928 = 26329479293
BaseRepresentation
bin1001000011110100…
…0111100101000000
320021111010101210020
42100331013211000
514440034102203
61041152533440
7114160104534
oct22075074500
96244111706
102431940928
11103884923a
1257a551280
132c9ac0201
14190db5bc4
15e3785153
hex90f47940

2431940928 has 112 divisors (see below), whose sum is σ = 6798746880. Its totient is φ = 765958144.

The previous prime is 2431940911. The next prime is 2431940939. The reversal of 2431940928 is 8290491342.

It is a self number, because there is not a number n which added to its sum of digits gives 2431940928.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257050 + ... + 266342.

Almost surely, 22431940928 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 2431940928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399373440).

2431940928 is an abundant number, since it is smaller than the sum of its proper divisors (4366805952).

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

2431940928 is a wasteful number, since it uses less digits than its factorization.

2431940928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9384 (or 9374 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 2431940928 is about 49314.7130986281. The cubic root of 2431940928 is about 1344.7792745497.

The spelling of 2431940928 in words is "two billion, four hundred thirty-one million, nine hundred forty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 47 48 58 64 87 94 96 116 141 174 188 192 232 282 348 376 464 564 696 752 928 1128 1363 1392 1504 1856 2256 2726 2784 3008 4089 4512 5452 5568 8178 9024 9293 10904 16356 18586 21808 27879 32712 37172 43616 55758 65424 74344 87232 111516 130848 148688 223032 261696 269497 297376 436771 446064 538994 594752 808491 873542 892128 1077988 1310313 1616982 1747084 1784256 2155976 2620626 3233964 3494168 4311952 5241252 6467928 6988336 8623904 10482504 12666359 12935856 13976672 17247808 20965008 25332718 25871712 27953344 37999077 41930016 50665436 51743424 75998154 83860032 101330872 151996308 202661744 303992616 405323488 607985232 810646976 1215970464 2431940928