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14917392 = 243374933
BaseRepresentation
bin111000111001…
…111100010000
31001001212211000
4320321330100
512304324032
61251422000
7240536640
oct70717420
931055730
1014917392
118469726
124bb4900
133123b79
141da4520
151499e7c
hexe39f10

14917392 has 80 divisors (see below), whose sum is σ = 48945280. Its totient is φ = 4261248.

The previous prime is 14917361. The next prime is 14917393. The reversal of 14917392 is 29371941.

14917392 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 (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14917393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 558 + ... + 5490.

It is an arithmetic number, because the mean of its divisors is an integer number (611816).

Almost surely, 214917392 is an apocalyptic number.

14917392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14917392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24472640).

14917392 is an abundant number, since it is smaller than the sum of its proper divisors (34027888).

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

14917392 is a wasteful number, since it uses less digits than its factorization.

14917392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4957 (or 4945 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 14917392 is about 3862.3039756083. The cubic root of 14917392 is about 246.1676430167.

The spelling of 14917392 in words is "fourteen million, nine hundred seventeen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 4933 9866 14799 19732 29598 34531 39464 44397 59196 69062 78928 88794 103593 118392 133191 138124 177588 207186 236784 266382 276248 310779 355176 414372 532764 552496 621558 710352 828744 932337 1065528 1243116 1657488 1864674 2131056 2486232 3729348 4972464 7458696 14917392