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252775505040 = 24351053231271
BaseRepresentation
bin1110101101101010011…
…0000001110010010000
3220011110100201010021020
43223122212001302100
513120141012130130
6312042400155440
724156004225122
oct3533246016220
9804410633236
10252775505040
1198224201273
1240ba6008b80
131aab50c0a76
14c33d29b212
156896815e10
hex3ada981c90

252775505040 has 40 divisors (see below), whose sum is σ = 783604066368. Its totient is φ = 67406801280.

The previous prime is 252775505039. The next prime is 252775505041. The reversal of 252775505040 is 40505577252.

It is an interprime number because it is at equal distance from previous prime (252775505039) and next prime (252775505041).

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 252775504983 and 252775505001.

It is not an unprimeable number, because it can be changed into a prime (252775505041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 526615396 + ... + 526615875.

Almost surely, 2252775505040 is an apocalyptic number.

252775505040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252775505040 is an abundant number, since it is smaller than the sum of its proper divisors (530828561328).

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

252775505040 is a wasteful number, since it uses less digits than its factorization.

252775505040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053231287 (or 1053231281 counting only the distinct ones).

The product of its (nonzero) digits is 490000, while the sum is 42.

The spelling of 252775505040 in words is "two hundred fifty-two billion, seven hundred seventy-five million, five hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1053231271 2106462542 3159693813 4212925084 5266156355 6319387626 8425850168 10532312710 12638775252 15798469065 16851700336 21064625420 25277550504 31596938130 42129250840 50555101008 63193876260 84258501680 126387752520 252775505040