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465252040 = 235111057391
BaseRepresentation
bin11011101110110…
…010111011001000
31012102110020211001
4123232302323020
51423101031130
6114055544344
714346401641
oct3356627310
91172406731
10465252040
11219693820
1210b98b0b4
1375509c86
1445b0c6c8
152aca26ca
hex1bbb2ec8

465252040 has 32 divisors (see below), whose sum is σ = 1141983360. Its totient is φ = 169182400.

The previous prime is 465252037. The next prime is 465252059. The reversal of 465252040 is 40252564.

It is an unprimeable number.

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, 528256 + ... + 529135.

It is an arithmetic number, because the mean of its divisors is an integer number (35686980).

Almost surely, 2465252040 is an apocalyptic number.

465252040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465252040 is an abundant number, since it is smaller than the sum of its proper divisors (676731320).

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

465252040 is a wasteful number, since it uses less digits than its factorization.

465252040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057413 (or 1057409 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 465252040 is about 21569.7018987282. The cubic root of 465252040 is about 774.8710378547.

The spelling of 465252040 in words is "four hundred sixty-five million, two hundred fifty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1057391 2114782 4229564 5286955 8459128 10573910 11631301 21147820 23262602 42295640 46525204 58156505 93050408 116313010 232626020 465252040