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14942368 = 257411627
BaseRepresentation
bin111001000000…
…000010100000
31001010011002001
4321000002200
512311123433
61252133344
7241002520
oct71000240
931104061
1014942368
118486471
125007254
13313234c
141dad680
1514a257d
hexe400a0

14942368 has 48 divisors (see below), whose sum is σ = 34461504. Its totient is φ = 6243840.

The previous prime is 14942363. The next prime is 14942401. The reversal of 14942368 is 86324941.

It is a super-2 number, since 2×149423682 = 446548722894848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14942363) 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, 8371 + ... + 9997.

It is an arithmetic number, because the mean of its divisors is an integer number (717948).

Almost surely, 214942368 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 14942368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17230752).

14942368 is an abundant number, since it is smaller than the sum of its proper divisors (19519136).

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

14942368 is a wasteful number, since it uses less digits than its factorization.

14942368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1677 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 14942368 is about 3865.5359266213. The cubic root of 14942368 is about 246.3049515335.

The spelling of 14942368 in words is "fourteen million, nine hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 287 328 574 656 1148 1312 1627 2296 3254 4592 6508 9184 11389 13016 22778 26032 45556 52064 66707 91112 133414 182224 266828 364448 466949 533656 933898 1067312 1867796 2134624 3735592 7471184 14942368