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252812040 = 233513162059
BaseRepresentation
bin11110001000110…
…01101100001000
3122121201011220220
433010121230020
51004204441130
641030350040
76156603225
oct1704315410
9577634826
10252812040
1111a784478
12707bb320
13404b8630
142580c94c
15172dc410
hexf119b08

252812040 has 64 divisors (see below), whose sum is σ = 816782400. Its totient is φ = 62230272.

The previous prime is 252812039. The next prime is 252812041. The reversal of 252812040 is 40218252.

It is an interprime number because it is at equal distance from previous prime (252812039) and next prime (252812041).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 252812040.

It is not an unprimeable number, because it can be changed into a prime (252812041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79470 + ... + 82589.

It is an arithmetic number, because the mean of its divisors is an integer number (12762225).

Almost surely, 2252812040 is an apocalyptic number.

252812040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252812040 is an abundant number, since it is smaller than the sum of its proper divisors (563970360).

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

252812040 is a wasteful number, since it uses less digits than its factorization.

252812040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162086 (or 162082 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 252812040 is about 15900.0641508140. The cubic root of 252812040 is about 632.3136895468.

The spelling of 252812040 in words is "two hundred fifty-two million, eight hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 162059 324118 486177 648236 810295 972354 1296472 1620590 1944708 2106767 2430885 3241180 3889416 4213534 4861770 6320301 6482360 8427068 9723540 10533835 12640602 16854136 19447080 21067670 25281204 31601505 42135340 50562408 63203010 84270680 126406020 252812040