Search a number
-
+
625149840 = 243572175359
BaseRepresentation
bin100101010000110…
…000011110010000
31121120022220100210
4211100300132100
52240014243330
6142011044120
721330454200
oct4520603620
91546286323
10625149840
112a0976367
12155440640
139c693063
145d052400
1539d398b0
hex25430790

625149840 has 480 divisors, whose sum is σ = 2473234560. Its totient is φ = 129712128.

The previous prime is 625149827. The next prime is 625149853. The reversal of 625149840 is 48941526.

It is an interprime number because it is at equal distance from previous prime (625149827) and next prime (625149853).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10595731 + ... + 10595789.

It is an arithmetic number, because the mean of its divisors is an integer number (5152572).

Almost surely, 2625149840 is an apocalyptic number.

625149840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 625149840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236617280).

625149840 is an abundant number, since it is smaller than the sum of its proper divisors (1848084720).

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

625149840 is a wasteful number, since it uses less digits than its factorization.

625149840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 625149840 is about 25002.9966204053. The cubic root of 625149840 is about 855.0562939577.

The spelling of 625149840 in words is "six hundred twenty-five million, one hundred forty-nine thousand, eight hundred forty".