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2430914892 = 223727356633
BaseRepresentation
bin1001000011100100…
…1101000101001100
320021102012021022220
42100321031011030
514434303234032
61041114535340
7114145302300
oct22071150514
96242167286
102430914892
11103820837a
1257a137550
132c98211a3
14190bc9d00
15e363112c
hex90e4d14c

2430914892 has 72 divisors (see below), whose sum is σ = 6688701936. Its totient is φ = 685020672.

The previous prime is 2430914833. The next prime is 2430914903. The reversal of 2430914892 is 2984190342.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 23 ways as a sum of consecutive naturals, for example, 14608 + ... + 71240.

It is an arithmetic number, because the mean of its divisors is an integer number (92898638).

Almost surely, 22430914892 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 2430914892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3344350968).

2430914892 is an abundant number, since it is smaller than the sum of its proper divisors (4257787044).

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

2430914892 is a wasteful number, since it uses less digits than its factorization.

2430914892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56727 (or 56718 counting only the distinct ones).

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

The square root of 2430914892 is about 49304.3090611764. The cubic root of 2430914892 is about 1344.5901271322.

The spelling of 2430914892 in words is "two billion, four hundred thirty million, nine hundred fourteen thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 73 84 98 146 147 196 219 292 294 438 511 588 876 1022 1533 2044 3066 3577 6132 7154 10731 14308 21462 42924 56633 113266 169899 226532 339798 396431 679596 792862 1189293 1585724 2378586 2775017 4134209 4757172 5550034 8268418 8325051 11100068 12402627 16536836 16650102 24805254 28939463 33300204 49610508 57878926 86818389 115757852 173636778 202576241 347273556 405152482 607728723 810304964 1215457446 2430914892