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627000090 = 23561794337
BaseRepresentation
bin100101010111110…
…100001100011010
31121200210220102120
4211113310030122
52241003000330
6142114442110
721352261413
oct4527641432
91550726376
10627000090
112a1a1a4a2
12155b93336
139cb90292
145d3b480a
153a0a2c10
hex255f431a

627000090 has 64 divisors (see below), whose sum is σ = 1549186560. Its totient is φ = 162339840.

The previous prime is 627000089. The next prime is 627000131. The reversal of 627000090 is 90000726.

627000090 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-2 number, since 2×6270000902 = 786258225720016200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 627000090.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142402 + ... + 146738.

It is an arithmetic number, because the mean of its divisors is an integer number (24206040).

Almost surely, 2627000090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 627000090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774593280).

627000090 is an abundant number, since it is smaller than the sum of its proper divisors (922186470).

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

627000090 is a wasteful number, since it uses less digits than its factorization.

627000090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4487.

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 627000090 is about 25039.9698482247. The cubic root of 627000090 is about 855.8990304014.

The spelling of 627000090 in words is "six hundred twenty-seven million, ninety", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 30 61 79 122 158 183 237 305 366 395 474 610 790 915 1185 1830 2370 4337 4819 8674 9638 13011 14457 21685 24095 26022 28914 43370 48190 65055 72285 130110 144570 264557 342623 529114 685246 793671 1027869 1322785 1587342 1713115 2055738 2645570 3426230 3968355 5139345 7936710 10278690 20900003 41800006 62700009 104500015 125400018 209000030 313500045 627000090