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14973992 = 2311231499
BaseRepresentation
bin111001000111…
…110000101000
31001011202110022
4321013300220
512313131432
61252540012
7241163645
oct71076050
931152408
1014973992
1184a8200
125021608
133143867
141dbadcc
1514abb12
hexe47c28

14973992 has 48 divisors (see below), whose sum is σ = 31920000. Its totient is φ = 6573600.

The previous prime is 14973977. The next prime is 14973997. The reversal of 14973992 is 29937941.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (14973997) 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 11 ways as a sum of consecutive naturals, for example, 29759 + ... + 30257.

It is an arithmetic number, because the mean of its divisors is an integer number (665000).

Almost surely, 214973992 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 14973992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15960000).

14973992 is an abundant number, since it is smaller than the sum of its proper divisors (16946008).

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

14973992 is a wasteful number, since it uses less digits than its factorization.

14973992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 543 counting only the distinct ones).

The product of its digits is 122472, while the sum is 44.

The square root of 14973992 is about 3869.6242711664. The cubic root of 14973992 is about 246.4785888771.

The spelling of 14973992 in words is "fourteen million, nine hundred seventy-three thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 22 31 44 62 88 121 124 242 248 341 484 499 682 968 998 1364 1996 2728 3751 3992 5489 7502 10978 15004 15469 21956 30008 30938 43912 60379 61876 120758 123752 170159 241516 340318 483032 680636 1361272 1871749 3743498 7486996 14973992