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12993408 = 273211279
BaseRepresentation
bin110001100100…
…001110000000
3220110010121100
4301210032000
511311242113
61142254400
7215304441
oct61441600
926403540
1012993408
11737515a
124427400
1328cc20c
141a232c8
151219d73
hexc64380

12993408 has 48 divisors (see below), whose sum is σ = 37393200. Its totient is φ = 4330752.

The previous prime is 12993391. The next prime is 12993419. The reversal of 12993408 is 80439921.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4488 + ... + 6791.

It is an arithmetic number, because the mean of its divisors is an integer number (779025).

Almost surely, 212993408 is an apocalyptic number.

12993408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12993408 is an abundant number, since it is smaller than the sum of its proper divisors (24399792).

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

12993408 is a wasteful number, since it uses less digits than its factorization.

12993408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11299 (or 11284 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 12993408 is about 3604.6370136256. The cubic root of 12993408 is about 235.0937184672.

The spelling of 12993408 in words is "twelve million, nine hundred ninety-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 11279 22558 33837 45116 67674 90232 101511 135348 180464 203022 270696 360928 406044 541392 721856 812088 1082784 1443712 1624176 2165568 3248352 4331136 6496704 12993408