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4625640400 = 245223502787
BaseRepresentation
bin1000100111011010…
…11010101111010000
3102221100221212201211
410103231122233100
533433130443100
62042555305504
7222425203033
oct42355325720
912840855654
104625640400
111a64065107
12a9114b294
13589426b34
1431c49301a
151c115a1ba
hex113b5abd0

4625640400 has 60 divisors (see below), whose sum is σ = 11596302432. Its totient is φ = 1769806720.

The previous prime is 4625640391. The next prime is 4625640413. The reversal of 4625640400 is 40465264.

It is a super-2 number, since 2×46256404002 = 42793098220224320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 242194 + ... + 260593.

Almost surely, 24625640400 is an apocalyptic number.

4625640400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4625640400 is an abundant number, since it is smaller than the sum of its proper divisors (6970662032).

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

4625640400 is a wasteful number, since it uses less digits than its factorization.

4625640400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502828 (or 502817 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 4625640400 is about 68012.0606951444. The cubic root of 4625640400 is about 1666.1878215487.

The spelling of 4625640400 in words is "four billion, six hundred twenty-five million, six hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 575 920 1150 1840 2300 4600 9200 502787 1005574 2011148 2513935 4022296 5027870 8044592 10055740 11564101 12569675 20111480 23128202 25139350 40222960 46256404 50278700 57820505 92512808 100557400 115641010 185025616 201114800 231282020 289102525 462564040 578205050 925128080 1156410100 2312820200 4625640400