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401146857 = 3322964879
BaseRepresentation
bin10111111010010…
…000001111101001
31000221211101001000
4113322100033221
51310143144412
6103445545213
712640456236
oct2772201751
91027741030
10401146857
11196489631
12b2415209
1365153607
143b3c278d
152533d4dc
hex17e903e9

401146857 has 16 divisors (see below), whose sum is σ = 596896000. Its totient is φ = 266259312.

The previous prime is 401146853. The next prime is 401146891. The reversal of 401146857 is 758641104.

It is a happy number.

It is not a de Polignac number, because 401146857 - 22 = 401146853 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (401146853) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26257 + ... + 38622.

It is an arithmetic number, because the mean of its divisors is an integer number (37306000).

Almost surely, 2401146857 is an apocalyptic number.

It is an amenable number.

401146857 is a deficient number, since it is larger than the sum of its proper divisors (195749143).

401146857 is a wasteful number, since it uses less digits than its factorization.

401146857 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65117 (or 65111 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 401146857 is about 20028.6509031437. The cubic root of 401146857 is about 737.5098040256.

It can be divided in two parts, 40114 and 6857, that added together give a triangular number (46971 = T306).

The spelling of 401146857 in words is "four hundred one million, one hundred forty-six thousand, eight hundred fifty-seven".

Divisors: 1 3 9 27 229 687 2061 6183 64879 194637 583911 1751733 14857291 44571873 133715619 401146857