Search a number
-
+
14717952 = 210321597
BaseRepresentation
bin111000001001…
…010000000000
31000200202020100
4320021100000
512231433302
61243242400
7236046324
oct70112000
930622210
1014717952
1183428a7
124b19400
133084162
141d51984
15145ad1c
hexe09400

14717952 has 66 divisors (see below), whose sum is σ = 42524378. Its totient is φ = 4902912.

The previous prime is 14717939. The next prime is 14717977. The reversal of 14717952 is 25971741.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 10653696 + 4064256 = 3264^2 + 2016^2 .

It is a super-2 number, since 2×147179522 = 433236222148608, which contains 22 as substring.

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, 8418 + ... + 10014.

Almost surely, 214717952 is an apocalyptic number.

14717952 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 14717952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21262189).

14717952 is an abundant number, since it is smaller than the sum of its proper divisors (27806426).

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

14717952 is a wasteful number, since it uses less digits than its factorization.

14717952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1602 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 14717952 is about 3836.3983109161. The cubic root of 14717952 is about 245.0656605909.

The spelling of 14717952 in words is "fourteen million, seven hundred seventeen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 1597 2304 3072 3194 4608 4791 6388 9216 9582 12776 14373 19164 25552 28746 38328 51104 57492 76656 102208 114984 153312 204416 229968 306624 408832 459936 613248 817664 919872 1226496 1635328 1839744 2452992 3679488 4905984 7358976 14717952