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401504016 = 24338921503
BaseRepresentation
bin10111111011100…
…111011100010000
31000222111111222010
4113323213130100
51310241112031
6103501342520
712643504434
oct2773473420
91028444863
10401504016
11196702a01
12b2567a40
136524a054
143b4769c4
15253ae246
hex17ee7710

401504016 has 40 divisors (see below), whose sum is σ = 1039933440. Its totient is φ = 133484416.

The previous prime is 401504003. The next prime is 401504041. The reversal of 401504016 is 610405104.

It is a super-2 number, since 2×4015040162 = 322410949728256512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401503983 and 401504001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7921 + ... + 29423.

It is an arithmetic number, because the mean of its divisors is an integer number (25998336).

Almost surely, 2401504016 is an apocalyptic number.

It is an amenable number.

401504016 is an abundant number, since it is smaller than the sum of its proper divisors (638429424).

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

401504016 is a wasteful number, since it uses less digits than its factorization.

401504016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21903 (or 21897 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 401504016 is about 20037.5651215411. The cubic root of 401504016 is about 737.7286184268.

The spelling of 401504016 in words is "four hundred one million, five hundred four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 389 778 1167 1556 2334 3112 4668 6224 9336 18672 21503 43006 64509 86012 129018 172024 258036 344048 516072 1032144 8364667 16729334 25094001 33458668 50188002 66917336 100376004 133834672 200752008 401504016