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252314480 = 24511286721
BaseRepresentation
bin11110000101000…
…00001101110000
3122120202220101202
433002200031300
51004043030410
641011550332
76152431505
oct1702401560
9576686352
10252314480
1111a474670
12705bb3a8
1340373012
142571d4ac
151723eca5
hexf0a0370

252314480 has 40 divisors (see below), whose sum is σ = 639963504. Its totient is φ = 91750400.

The previous prime is 252314473. The next prime is 252314501. The reversal of 252314480 is 84413252.

It is a happy number.

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

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, 142481 + ... + 144240.

Almost surely, 2252314480 is an apocalyptic number.

252314480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252314480 is an abundant number, since it is smaller than the sum of its proper divisors (387649024).

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

252314480 is a wasteful number, since it uses less digits than its factorization.

252314480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286745 (or 286739 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 252314480 is about 15884.4099670085. The cubic root of 252314480 is about 631.8985977354.

The spelling of 252314480 in words is "two hundred fifty-two million, three hundred fourteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 286721 573442 1146884 1433605 2293768 2867210 3153931 4587536 5734420 6307862 11468840 12615724 15769655 22937680 25231448 31539310 50462896 63078620 126157240 252314480