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425291040 = 25335175791
BaseRepresentation
bin11001010110010…
…110110100100000
31002122021000122000
4121112112310200
51332333303130
6110111244000
713352625366
oct3126266440
91078230560
10425291040
111a907a4a9
12ba519600
136a158105
14406a9636
152750c260
hex19596d20

425291040 has 192 divisors, whose sum is σ = 1576350720. Its totient is φ = 106721280.

The previous prime is 425291033. The next prime is 425291063. The reversal of 425291040 is 40192524.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 425290995 and 425291013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70545 + ... + 76335.

It is an arithmetic number, because the mean of its divisors is an integer number (8210160).

Almost surely, 2425291040 is an apocalyptic number.

425291040 is a gapful number since it is divisible by the number (40) 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 425291040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788175360).

425291040 is an abundant number, since it is smaller than the sum of its proper divisors (1151059680).

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

425291040 is a wasteful number, since it uses less digits than its factorization.

425291040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5832 (or 5818 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 425291040 is about 20622.5856768738. The cubic root of 425291040 is about 752.0188806185.

The spelling of 425291040 in words is "four hundred twenty-five million, two hundred ninety-one thousand, forty".