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53404008 = 23371272503
BaseRepresentation
bin1100101110111…
…0000101101000
310201111012112020
43023232011220
5102132412013
65144344440
71215632550
oct313560550
9121435466
1053404008
1128166249
1215a75120
13b0aa908
147142160
154a4d623
hex32ee168

53404008 has 64 divisors (see below), whose sum is σ = 153845760. Its totient is φ = 15132096.

The previous prime is 53403997. The next prime is 53404037. The reversal of 53404008 is 80040435.

It is a happy number.

53404008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 20085 + ... + 22587.

It is an arithmetic number, because the mean of its divisors is an integer number (2403840).

Almost surely, 253404008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53404008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76922880).

53404008 is an abundant number, since it is smaller than the sum of its proper divisors (100441752).

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

53404008 is a wasteful number, since it uses less digits than its factorization.

53404008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646 (or 2642 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 53404008 is about 7307.8045950887. The cubic root of 53404008 is about 376.5806066820.

The spelling of 53404008 in words is "fifty-three million, four hundred four thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 127 168 254 381 508 762 889 1016 1524 1778 2503 2667 3048 3556 5006 5334 7112 7509 10012 10668 15018 17521 20024 21336 30036 35042 52563 60072 70084 105126 140168 210252 317881 420504 635762 953643 1271524 1907286 2225167 2543048 3814572 4450334 6675501 7629144 8900668 13351002 17801336 26702004 53404008