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2430556492 = 2271337251719
BaseRepresentation
bin1001000011011111…
…0101100101001100
320021101112001200211
42100313311211030
514434210301432
61041103132204
7114142250350
oct22067654514
96241461624
102430556492
111037a93081
12579ba4064
132c9727010
14190b35460
15e35aed47
hex90df594c

2430556492 has 96 divisors (see below), whose sum is σ = 5405460480. Its totient is φ = 930528000.

The previous prime is 2430556481. The next prime is 2430556493. The reversal of 2430556492 is 2946550342.

2430556492 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×24305564923 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2430556493) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3380109 + ... + 3380827.

It is an arithmetic number, because the mean of its divisors is an integer number (56306880).

Almost surely, 22430556492 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 2430556492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2702730240).

2430556492 is an abundant number, since it is smaller than the sum of its proper divisors (2974903988).

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

2430556492 is a wasteful number, since it uses less digits than its factorization.

2430556492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The square root of 2430556492 is about 49300.6743564426. The cubic root of 2430556492 is about 1344.5240443598.

The spelling of 2430556492 in words is "two billion, four hundred thirty million, five hundred fifty-six thousand, four hundred ninety-two".

Divisors: 1 2 4 7 13 14 26 28 37 52 74 91 148 182 251 259 364 481 502 518 719 962 1004 1036 1438 1757 1924 2876 3263 3367 3514 5033 6526 6734 7028 9287 9347 10066 13052 13468 18574 18694 20132 22841 26603 37148 37388 45682 53206 65009 65429 91364 106412 120731 130018 130858 180469 186221 241462 260036 261716 345839 360938 372442 482924 691678 721876 744884 845117 1263283 1383356 1690234 2346097 2420873 2526566 3380468 4692194 4841746 5053132 6677353 9384388 9683492 13354706 16422679 26709412 32845358 46741471 65690716 86805589 93482942 173611178 186965884 347222356 607639123 1215278246 2430556492