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253504044 = 223261241479
BaseRepresentation
bin11110001110000…
…10101000101100
3122200000100011200
433013002220230
51004344112134
641053245500
76165514563
oct1707025054
9580010150
10253504044
11120107382
1270a93890
134069b5c1
142594cbda
15173c7499
hexf1c2a2c

253504044 has 72 divisors (see below), whose sum is σ = 655374720. Its totient is φ = 82598400.

The previous prime is 253504039. The next prime is 253504063. The reversal of 253504044 is 440405352.

253504044 is a `hidden beast` number, since 253 + 5 + 0 + 404 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 253503999 and 253504017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 528997 + ... + 529475.

Almost surely, 2253504044 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 253504044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327687360).

253504044 is an abundant number, since it is smaller than the sum of its proper divisors (401870676).

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

253504044 is a wasteful number, since it uses less digits than its factorization.

253504044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 253504044 is about 15921.8103242062. The cubic root of 253504044 is about 632.8900927004.

Adding to 253504044 its reverse (440405352), we get a palindrome (693909396).

The spelling of 253504044 in words is "two hundred fifty-three million, five hundred four thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 241 244 366 479 482 549 723 732 958 964 1098 1437 1446 1916 2169 2196 2874 2892 4311 4338 5748 8622 8676 14701 17244 29219 29402 44103 58438 58804 87657 88206 115439 116876 132309 175314 176412 230878 262971 264618 346317 350628 461756 525942 529236 692634 1038951 1051884 1385268 2077902 4155804 7041779 14083558 21125337 28167116 42250674 63376011 84501348 126752022 253504044