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425689152 = 26372347293
BaseRepresentation
bin11001010111111…
…000000001000000
31002200000020201220
4121113320001000
51332434023102
6110123555040
713356204150
oct3127700100
91080006656
10425689152
111a9321619
12ba68ba80
136a267395
1440770760
152758a1bc
hex195f8040

425689152 has 224 divisors, whose sum is σ = 1376428032. Its totient is φ = 113473536.

The previous prime is 425689151. The next prime is 425689213. The reversal of 425689152 is 251986524.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×4256891522 = 362422508260958208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425689151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1452718 + ... + 1453010.

It is an arithmetic number, because the mean of its divisors is an integer number (6144768).

Almost surely, 2425689152 is an apocalyptic number.

425689152 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 425689152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688214016).

425689152 is an abundant number, since it is smaller than the sum of its proper divisors (950738880).

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

425689152 is a wasteful number, since it uses less digits than its factorization.

425689152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 375 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 425689152 is about 20632.2357489439. The cubic root of 425689152 is about 752.2534606611.

The spelling of 425689152 in words is "four hundred twenty-five million, six hundred eighty-nine thousand, one hundred fifty-two".