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408055104 = 2633236143
BaseRepresentation
bin11000010100100…
…110110101000000
31001102211100101000
4120110212311000
51313430230404
6104254012000
713053261012
oct3024466500
91042740330
10408055104
1119a377926
12b47a7000
1366701b32
143c2a01b2
1525c55339
hex18526d40

408055104 has 56 divisors (see below), whose sum is σ = 1199611520. Its totient is φ = 136017792.

The previous prime is 408055103. The next prime is 408055111. The reversal of 408055104 is 401550804.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408055103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116344 + ... + 119799.

Almost surely, 2408055104 is an apocalyptic number.

It is an amenable number.

408055104 is an abundant number, since it is smaller than the sum of its proper divisors (791556416).

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

408055104 is a wasteful number, since it uses less digits than its factorization.

408055104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236164 (or 236148 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 408055104 is about 20200.3738579265. The cubic root of 408055104 is about 741.7193427609.

The spelling of 408055104 in words is "four hundred eight million, fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 236143 472286 708429 944572 1416858 1889144 2125287 2833716 3778288 4250574 5667432 6375861 7556576 8501148 11334864 12751722 15113152 17002296 22669728 25503444 34004592 45339456 51006888 68009184 102013776 136018368 204027552 408055104