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464266240 = 210590677
BaseRepresentation
bin11011101011000…
…010010000000000
31012100121011112221
4123223002100000
51422323004430
6114022500424
714335124614
oct3353022000
91170534487
10464266240
11219080109
1210b594714
1375253369
1445933344
152ab5a57a
hex1bac2400

464266240 has 44 divisors (see below), whose sum is σ = 1113707196. Its totient is φ = 185704448.

The previous prime is 464266237. The next prime is 464266279. The reversal of 464266240 is 42662464.

It can be written as a sum of positive squares in 2 ways, for example, as 65545216 + 398721024 = 8096^2 + 19968^2 .

It is a junction number, because it is equal to n+sod(n) for n = 464266196 and 464266205.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40219 + ... + 50458.

Almost surely, 2464266240 is an apocalyptic number.

464266240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464266240 is an abundant number, since it is smaller than the sum of its proper divisors (649440956).

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

464266240 is an equidigital number, since it uses as much as digits as its factorization.

464266240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90702 (or 90684 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The square root of 464266240 is about 21546.8382831449. The cubic root of 464266240 is about 774.3233719684.

The spelling of 464266240 in words is "four hundred sixty-four million, two hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 90677 181354 362708 453385 725416 906770 1450832 1813540 2901664 3627080 5803328 7254160 11606656 14508320 23213312 29016640 46426624 58033280 92853248 116066560 232133120 464266240