Search a number
-
+
20282944 = 261147613
BaseRepresentation
bin100110101011…
…1111001000000
31102011110222011
41031113321000
520143023234
62002422304
7334254643
oct115277100
942143864
1020282944
11104a3970
126961994
134282156
14299da5a
151ba9b64
hex1357e40

20282944 has 56 divisors (see below), whose sum is σ = 44915328. Its totient is φ = 9008640.

The previous prime is 20282939. The next prime is 20282957. The reversal of 20282944 is 44928202.

It is a super-2 number, since 2×202829442 = 822795634614272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32782 + ... + 33394.

Almost surely, 220282944 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 20282944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22457664).

20282944 is an abundant number, since it is smaller than the sum of its proper divisors (24632384).

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

20282944 is a wasteful number, since it uses less digits than its factorization.

20282944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 20282944 is about 4503.6589568927. The cubic root of 20282944 is about 272.7158192631.

The spelling of 20282944 in words is "twenty million, two hundred eighty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 176 188 352 376 517 613 704 752 1034 1226 1504 2068 2452 3008 4136 4904 6743 8272 9808 13486 16544 19616 26972 28811 33088 39232 53944 57622 107888 115244 215776 230488 316921 431552 460976 633842 921952 1267684 1843904 2535368 5070736 10141472 20282944