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20048976 = 2432294801
BaseRepresentation
bin100110001111…
…0110001010000
31101201121000200
41030132301100
520113031401
61553415200
7332261553
oct114366120
941647020
1020048976
1110354102
12686a500
1341cc7cc
14293c69a
151b60686
hex131ec50

20048976 has 60 divisors (see below), whose sum is σ = 58056180. Its totient is φ = 6451200.

The previous prime is 20048969. The next prime is 20048981. The reversal of 20048976 is 67984002.

It can be written as a sum of positive squares in 2 ways, for example, as 11048976 + 9000000 = 3324^2 + 3000^2 .

It is a super-2 number, since 2×200489762 = 803922877297152, which contains 22 as substring.

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 20048976.

It is a congruent number.

It is an unprimeable number.

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, 1776 + ... + 6576.

It is an arithmetic number, because the mean of its divisors is an integer number (967603).

Almost surely, 220048976 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 20048976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29028090).

20048976 is an abundant number, since it is smaller than the sum of its proper divisors (38007204).

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

20048976 is a wasteful number, since it uses less digits than its factorization.

20048976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4844 (or 4835 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 20048976 is about 4477.6082901478. The cubic root of 20048976 is about 271.6631499078.

The spelling of 20048976 in words is "twenty million, forty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 4801 9602 14403 19204 28806 38408 43209 57612 76816 86418 115224 139229 172836 230448 278458 345672 417687 556916 691344 835374 1113832 1253061 1670748 2227664 2506122 3341496 5012244 6682992 10024488 20048976