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425917440 = 2103451379
BaseRepresentation
bin11001011000101…
…111110000000000
31002200102211220000
4121120233300000
51333013324230
6110132520000
713361144544
oct3130576000
91080384800
10425917440
111a9468093
12ba780000
136a317270
14407cda24
15275d2b60
hex1962fc00

425917440 has 440 divisors, whose sum is σ = 1664456640. Its totient is φ = 103514112.

The previous prime is 425917423. The next prime is 425917469. The reversal of 425917440 is 44719524.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 425917395 and 425917404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5391321 + ... + 5391399.

It is an arithmetic number, because the mean of its divisors is an integer number (3782856).

Almost surely, 2425917440 is an apocalyptic number.

425917440 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 425917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832228320).

425917440 is an abundant number, since it is smaller than the sum of its proper divisors (1238539200).

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

425917440 is a wasteful number, since it uses less digits than its factorization.

425917440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 425917440 is about 20637.7673211033. The cubic root of 425917440 is about 752.3879091179.

The spelling of 425917440 in words is "four hundred twenty-five million, nine hundred seventeen thousand, four hundred forty".