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401039328 = 2534397151
BaseRepresentation
bin10111111001110…
…101111111100000
31000221121220112110
4113321311333200
51310131224303
6103443355320
712636530604
oct2771657740
91027556473
10401039328
11196415868
12b2382b40
13651166a1
143b395504
152531b703
hex17e75fe0

401039328 has 48 divisors (see below), whose sum is σ = 1077221376. Its totient is φ = 130569600.

The previous prime is 401039323. The next prime is 401039329. The reversal of 401039328 is 823930104.

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

It is a junction number, because it is equal to n+sod(n) for n = 401039295 and 401039304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401039321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44448 + ... + 52703.

It is an arithmetic number, because the mean of its divisors is an integer number (22442112).

Almost surely, 2401039328 is an apocalyptic number.

401039328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

401039328 is an abundant number, since it is smaller than the sum of its proper divisors (676182048).

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

401039328 is a wasteful number, since it uses less digits than its factorization.

401039328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97207 (or 97199 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 401039328 is about 20025.9663437248. The cubic root of 401039328 is about 737.4439006643.

The spelling of 401039328 in words is "four hundred one million, thirty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 97151 194302 291453 388604 582906 777208 1165812 1554416 2331624 3108832 4177493 4663248 8354986 9326496 12532479 16709972 25064958 33419944 50129916 66839888 100259832 133679776 200519664 401039328