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461645040 = 24351923521
BaseRepresentation
bin11011100001000…
…010010011110000
31012011122222221110
4123201002103300
51421140120130
6113450353320
714303626623
oct3341022360
91164588843
10461645040
1121764a82a
1210a72b840
137484625c
144544ddba
152a7ddab0
hex1b8424f0

461645040 has 40 divisors (see below), whose sum is σ = 1431100368. Its totient is φ = 123105280.

The previous prime is 461645039. The next prime is 461645059. The reversal of 461645040 is 40546164.

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

It is a super-2 number, since 2×4616450402 = 426232285913203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 461644989 and 461645007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 961521 + ... + 962000.

Almost surely, 2461645040 is an apocalyptic number.

461645040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461645040 is an abundant number, since it is smaller than the sum of its proper divisors (969455328).

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

461645040 is a wasteful number, since it uses less digits than its factorization.

461645040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923537 (or 1923531 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 461645040 is about 21485.9265567022. The cubic root of 461645040 is about 772.8633704876.

The spelling of 461645040 in words is "four hundred sixty-one million, six hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1923521 3847042 5770563 7694084 9617605 11541126 15388168 19235210 23082252 28852815 30776336 38470420 46164504 57705630 76940840 92329008 115411260 153881680 230822520 461645040