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401925888 = 283571371
BaseRepresentation
bin10111111101001…
…110011100000000
31001000021221200000
4113331032130000
51310343112023
6103514400000
712650212410
oct2775163400
91030257600
10401925888
11196970961
12b2730000
1365367090
143b546640
1525444243
hex17f4e700

401925888 has 432 divisors, whose sum is σ = 1499936256. Its totient is φ = 104509440.

The previous prime is 401925863. The next prime is 401925899. The reversal of 401925888 is 888529104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

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, 5660893 + ... + 5660963.

Almost surely, 2401925888 is an apocalyptic number.

401925888 is a gapful number since it is divisible by the number (48) 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 401925888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749968128).

401925888 is an abundant number, since it is smaller than the sum of its proper divisors (1098010368).

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

401925888 is an equidigital number, since it uses as much as digits as its factorization.

401925888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 401925888 is about 20048.0893852756. The cubic root of 401925888 is about 737.9869123200.

The spelling of 401925888 in words is "four hundred one million, nine hundred twenty-five thousand, eight hundred eighty-eight".