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625213440 = 21832553
BaseRepresentation
bin100101010001000…
…000000000000000
31121120110010121100
4211101000000000
52240023312230
6142012254400
721331140465
oct4521000000
91546403540
10625213440
112a0a0a125
12155471400
139c6b5ca7
145d06b66c
1539d4d660
hex25440000

625213440 has 228 divisors, whose sum is σ = 2208296844. Its totient is φ = 163577856.

The previous prime is 625213423. The next prime is 625213447. The reversal of 625213440 is 44312526.

625213440 is a `hidden beast` number, since 6 + 2 + 5 + 213 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 339738624 + 285474816 = 18432^2 + 16896^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (625213447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11796454 + ... + 11796506.

Almost surely, 2625213440 is an apocalyptic number.

625213440 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 625213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104148422).

625213440 is an abundant number, since it is smaller than the sum of its proper divisors (1583083404).

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

625213440 is an frugal number, since it uses more digits than its factorization.

625213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 625213440 is about 25004.2684356091. The cubic root of 625213440 is about 855.0852895322.

Adding to 625213440 its reverse (44312526), we get a palindrome (669525966).

The spelling of 625213440 in words is "six hundred twenty-five million, two hundred thirteen thousand, four hundred forty".