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461266640 = 2455765833
BaseRepresentation
bin11011011111100…
…101111011010000
31012010221202212122
4123133211323100
51421041013030
6113434313412
714300462462
oct3337457320
91163852778
10461266640
112174114aa
1210a588868
1374742c53
1445392132
152a7668e5
hex1b7e5ed0

461266640 has 20 divisors (see below), whose sum is σ = 1072445124. Its totient is φ = 184506624.

The previous prime is 461266573. The next prime is 461266643. The reversal of 461266640 is 46662164.

It can be written as a sum of positive squares in 2 ways, for example, as 70492816 + 390773824 = 8396^2 + 19768^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 461266640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461266643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2882837 + ... + 2882996.

Almost surely, 2461266640 is an apocalyptic number.

461266640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461266640 is an abundant number, since it is smaller than the sum of its proper divisors (611178484).

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

461266640 is a wasteful number, since it uses less digits than its factorization.

461266640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5765846 (or 5765840 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 461266640 is about 21477.1189874247. The cubic root of 461266640 is about 772.6521465560.

The spelling of 461266640 in words is "four hundred sixty-one million, two hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5765833 11531666 23063332 28829165 46126664 57658330 92253328 115316660 230633320 461266640