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14972496 = 2437114051
BaseRepresentation
bin111001000111…
…011001010000
31001011200101220
4321013121100
512313104441
61252525040
7241156410
oct71073120
931150356
1014972496
1184a7070
125020780
133142c86
141dba640
1514ab466
hexe47650

14972496 has 80 divisors (see below), whose sum is σ = 48235008. Its totient is φ = 3888000.

The previous prime is 14972491. The next prime is 14972521. The reversal of 14972496 is 69427941.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14972491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1671 + ... + 5721.

Almost surely, 214972496 is an apocalyptic number.

14972496 is a gapful number since it is divisible by the number (16) 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 14972496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24117504).

14972496 is an abundant number, since it is smaller than the sum of its proper divisors (33262512).

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

14972496 is a wasteful number, since it uses less digits than its factorization.

14972496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4080 (or 4074 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 14972496 is about 3869.4309659173. The cubic root of 14972496 is about 246.4703803279.

Subtracting 14972496 from its reverse (69427941), we obtain a palindrome (54455445).

It can be divided in two parts, 1497 and 2496, that added together give a palindrome (3993).

The spelling of 14972496 in words is "fourteen million, nine hundred seventy-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 4051 8102 12153 16204 24306 28357 32408 44561 48612 56714 64816 85071 89122 97224 113428 133683 170142 178244 194448 226856 267366 311927 340284 356488 453712 534732 623854 680568 712976 935781 1069464 1247708 1361136 1871562 2138928 2495416 3743124 4990832 7486248 14972496