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253003984 = 2473251863
BaseRepresentation
bin11110001010010…
…00100011010000
3122122001221012221
433011020203100
51004232111414
641034430424
76161332642
oct1705104320
9578057187
10253003984
1111a8a5702
1270892414
1340554acc
142585c892
1517329224
hexf1488d0

253003984 has 40 divisors (see below), whose sum is σ = 499468032. Its totient is φ = 124128000.

The previous prime is 253003957. The next prime is 253004021. The reversal of 253003984 is 489300352.

It is a happy number.

It is a super-2 number, since 2×2530039842 = 128022031839744512, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 292737 + ... + 293599.

Almost surely, 2253003984 is an apocalyptic number.

It is an amenable number.

253003984 is a deficient number, since it is larger than the sum of its proper divisors (246464048).

253003984 is a wasteful number, since it uses less digits than its factorization.

253003984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 253003984 is about 15906.0989560608. The cubic root of 253003984 is about 632.4736741687.

The spelling of 253003984 in words is "two hundred fifty-three million, three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 73 146 251 292 502 584 863 1004 1168 1726 2008 3452 4016 6904 13808 18323 36646 62999 73292 125998 146584 216613 251996 293168 433226 503992 866452 1007984 1732904 3465808 15812749 31625498 63250996 126501992 253003984