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401057376 = 25317923339
BaseRepresentation
bin10111111001111…
…010011001100000
31000221122211021220
4113321322121200
51310132314001
6103444015040
712636634326
oct2771723140
91027584256
10401057376
11196428385
12b2391480
1365121975
143b39bd16
1525321c36
hex17e7a660

401057376 has 48 divisors (see below), whose sum is σ = 1058702400. Its totient is φ = 132933248.

The previous prime is 401057357. The next prime is 401057381. The reversal of 401057376 is 673750104.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5515 + ... + 28853.

It is an arithmetic number, because the mean of its divisors is an integer number (22056300).

Almost surely, 2401057376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401057376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529351200).

401057376 is an abundant number, since it is smaller than the sum of its proper divisors (657645024).

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

401057376 is a wasteful number, since it uses less digits than its factorization.

401057376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23531 (or 23523 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 401057376 is about 20026.4169536140. The cubic root of 401057376 is about 737.4549629110.

The spelling of 401057376 in words is "four hundred one million, fifty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 179 358 537 716 1074 1432 2148 2864 4296 5728 8592 17184 23339 46678 70017 93356 140034 186712 280068 373424 560136 746848 1120272 2240544 4177681 8355362 12533043 16710724 25066086 33421448 50132172 66842896 100264344 133685792 200528688 401057376