Search a number
-
+
14757968 = 243797257
BaseRepresentation
bin111000010011…
…000001010000
31000202210010102
4320103001100
512234223333
61244151532
7236304101
oct70230120
930683112
1014757968
11836a975
124b385a8
133099434
141d623a8
151467ae8
hexe13050

14757968 has 40 divisors (see below), whose sum is σ = 29784552. Its totient is φ = 7077888.

The previous prime is 14757961. The next prime is 14757979. The reversal of 14757968 is 86975741.

It can be written as a sum of positive squares in 4 ways, for example, as 9412624 + 5345344 = 3068^2 + 2312^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14757961) 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, 57296 + ... + 57552.

Almost surely, 214757968 is an apocalyptic number.

It is an amenable number.

14757968 is an abundant number, since it is smaller than the sum of its proper divisors (15026584).

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

14757968 is a wasteful number, since it uses less digits than its factorization.

14757968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 393 counting only the distinct ones).

The product of its digits is 423360, while the sum is 47.

The square root of 14757968 is about 3841.6100791205. The cubic root of 14757968 is about 245.2875590666.

The spelling of 14757968 in words is "fourteen million, seven hundred fifty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 37 74 97 148 194 257 296 388 514 592 776 1028 1552 2056 3589 4112 7178 9509 14356 19018 24929 28712 38036 49858 57424 76072 99716 152144 199432 398864 922373 1844746 3689492 7378984 14757968