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2430556381 = 112937434789
BaseRepresentation
bin1001000011011111…
…0101100011011101
320021101112001112201
42100313311203131
514434210301011
61041103131501
7114142250131
oct22067654335
96241461481
102430556381
111037a92a90
12579ba3b91
132c9726c56
14190b353c1
15e35aecc1
hex90df58dd

2430556381 has 32 divisors (see below), whose sum is σ = 2883196800. Its totient is φ = 2027047680.

The previous prime is 2430556379. The next prime is 2430556393. The reversal of 2430556381 is 1836550342.

It is a 4-Lehmer number, since φ(2430556381) divides (2430556381-1)4.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 2430556381 - 21 = 2430556379 is a prime.

It is a super-2 number, since 2×24305563812 = 11815208642439634322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a deceptive number, since it divides R2430556380.

It is a self number, because there is not a number n which added to its sum of digits gives 2430556381.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430556321) 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, 505135 + ... + 509923.

It is an arithmetic number, because the mean of its divisors is an integer number (90099900).

It is a Poulet number, since it divides 22430556380-1.

Almost surely, 22430556381 is an apocalyptic number.

It is an amenable number.

2430556381 is a deficient number, since it is larger than the sum of its proper divisors (452640419).

2430556381 is a wasteful number, since it uses less digits than its factorization.

2430556381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4909.

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 2430556381 is about 49300.6732306974. The cubic root of 2430556381 is about 1344.5240238923.

The spelling of 2430556381 in words is "two billion, four hundred thirty million, five hundred fifty-six thousand, three hundred eighty-one".

Divisors: 1 11 29 37 43 319 407 473 1073 1247 1591 4789 11803 13717 17501 46139 52679 138881 177193 205927 507529 1527691 1949123 2265197 5138597 5971883 7619299 56524567 65690713 83812289 220959671 2430556381