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401868104 = 23112415153
BaseRepresentation
bin10111111101000…
…000010101001000
31001000012000101212
4113331000111020
51310334234404
6103513232252
712646552061
oct2775002510
91030160355
10401868104
11196931500
12b2702688
13653469a1
143b52d568
152543206e
hex17f40548

401868104 has 24 divisors (see below), whose sum is σ = 828232230. Its totient is φ = 182666880.

The previous prime is 401868059. The next prime is 401868127.

401868104 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 345588100 + 56280004 = 18590^2 + 7502^2 .

It is a super-2 number, since 2×4018681042 = 322995946025109632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 206609 + ... + 208544.

Almost surely, 2401868104 is an apocalyptic number.

401868104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

401868104 is an abundant number, since it is smaller than the sum of its proper divisors (426364126).

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

401868104 is a wasteful number, since it uses less digits than its factorization.

401868104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415181 (or 415166 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 401868104 is about 20046.6481986391. The cubic root of 401868104 is about 737.9515443738.

The spelling of 401868104 in words is "four hundred one million, eight hundred sixty-eight thousand, one hundred four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 415153 830306 1660612 3321224 4566683 9133366 18266732 36533464 50233513 100467026 200934052 401868104