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125425440 = 25325723541
BaseRepresentation
bin1110111100111…
…01011100100000
322202000021100200
413132131130200
5224102103230
620240145200
73052045560
oct736353440
9282007320
10125425440
1164887a98
1236008200
131cca654a
141292cda0
15b028160
hex779d720

125425440 has 288 divisors, whose sum is σ = 511370496. Its totient is φ = 27371520.

The previous prime is 125425429. The next prime is 125425451. The reversal of 125425440 is 44524521.

It is an interprime number because it is at equal distance from previous prime (125425429) and next prime (125425451).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231570 + ... + 232110.

It is an arithmetic number, because the mean of its divisors is an integer number (1775592).

Almost surely, 2125425440 is an apocalyptic number.

125425440 is a gapful number since it is divisible by the number (10) 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 125425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255685248).

125425440 is an abundant number, since it is smaller than the sum of its proper divisors (385945056).

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

125425440 is a wasteful number, since it uses less digits than its factorization.

125425440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 125425440 is about 11199.3499811373. The cubic root of 125425440 is about 500.5666109947.

Adding to 125425440 its reverse (44524521), we get a palindrome (169949961).

The spelling of 125425440 in words is "one hundred twenty-five million, four hundred twenty-five thousand, four hundred forty".