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425097792 = 263271931179
BaseRepresentation
bin11001010101100…
…111101001000000
31002121220012112200
4121111213221000
51332311112132
6110103153200
713351162110
oct3125475100
91077805480
10425097792
111a8a58299
12ba445800
136a0bb172
1440659040
15274bed7c
hex19567a40

425097792 has 336 divisors, whose sum is σ = 1521561600. Its totient is φ = 110730240.

The previous prime is 425097787. The next prime is 425097821. The reversal of 425097792 is 297790524.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×4250977923 (a number of 27 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 2374759 + ... + 2374937.

Almost surely, 2425097792 is an apocalyptic number.

425097792 is a gapful number since it is divisible by the number (42) 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 425097792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760780800).

425097792 is an abundant number, since it is smaller than the sum of its proper divisors (1096463808).

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

425097792 is a wasteful number, since it uses less digits than its factorization.

425097792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 425097792 is about 20617.8997960510. The cubic root of 425097792 is about 751.9049600730.

The spelling of 425097792 in words is "four hundred twenty-five million, ninety-seven thousand, seven hundred ninety-two".