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208113408 = 283330109
BaseRepresentation
bin11000110011110…
…00111100000000
3112111121020221000
430121320330000
5411234112113
632352332000
75104635426
oct1431707400
9474536830
10208113408
11a7524758
1259844000
1334168239
141d8d5116
151340d373
hexc678f00

208113408 has 72 divisors (see below), whose sum is σ = 615448400. Its totient is φ = 69368832.

The previous prime is 208113401. The next prime is 208113431. The reversal of 208113408 is 804311802.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2081134082 = 86622381178748928, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208113401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8143 + ... + 21966.

Almost surely, 2208113408 is an apocalyptic number.

It is an amenable number.

208113408 is an abundant number, since it is smaller than the sum of its proper divisors (407334992).

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

208113408 is an equidigital number, since it uses as much as digits as its factorization.

208113408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30134 (or 30114 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 208113408 is about 14426.1362810699. The cubic root of 208113408 is about 592.6068770507.

The spelling of 208113408 in words is "two hundred eight million, one hundred thirteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 30109 60218 90327 120436 180654 240872 270981 361308 481744 541962 722616 812943 963488 1083924 1445232 1625886 1926976 2167848 2890464 3251772 3853952 4335696 5780928 6503544 7707904 8671392 11561856 13007088 17342784 23123712 26014176 34685568 52028352 69371136 104056704 208113408