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14249376 = 253249477
BaseRepresentation
bin110110010110…
…110110100000
3222210221110200
4312112312200
512121440001
61225225200
7232055241
oct66266640
928727420
1014249376
118052849
124932200
132c4baab
141c6ccc8
1513b7086
hexd96da0

14249376 has 36 divisors (see below), whose sum is σ = 40522482. Its totient is φ = 4749696.

The previous prime is 14249369. The next prime is 14249377. The reversal of 14249376 is 67394241.

14249376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 13395600 + 853776 = 3660^2 + 924^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14249376.

It is not an unprimeable number, because it can be changed into a prime (14249377) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24451 + ... + 25026.

Almost surely, 214249376 is an apocalyptic number.

14249376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14249376 is an abundant number, since it is smaller than the sum of its proper divisors (26273106).

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

14249376 is a wasteful number, since it uses less digits than its factorization.

14249376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49493 (or 49482 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 14249376 is about 3774.8345659115. The cubic root of 14249376 is about 242.4368404615.

The spelling of 14249376 in words is "fourteen million, two hundred forty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 49477 98954 148431 197908 296862 395816 445293 593724 791632 890586 1187448 1583264 1781172 2374896 3562344 4749792 7124688 14249376