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461797240 = 23511544931
BaseRepresentation
bin11011100001100…
…111011101111000
31012011221201201111
4123201213131320
51421210002430
6113453530104
714305132432
oct3341473570
91164851644
10461797240
11217744113
1210a7a3934
137489a608
144548d652
152a81dc2a
hex1b867778

461797240 has 16 divisors (see below), whose sum is σ = 1039043880. Its totient is φ = 184718880.

The previous prime is 461797199. The next prime is 461797241. The reversal of 461797240 is 42797164.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 11544931 = 461797240 / (4 + 6 + 1 + 7 + 9 + 7 + 2 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 461797193 and 461797202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461797241) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 5772426 + ... + 5772505.

Almost surely, 2461797240 is an apocalyptic number.

461797240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461797240 is an abundant number, since it is smaller than the sum of its proper divisors (577246640).

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

461797240 is a wasteful number, since it uses less digits than its factorization.

461797240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11544942 (or 11544938 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 461797240 is about 21489.4681181271. The cubic root of 461797240 is about 772.9482964011.

The spelling of 461797240 in words is "four hundred sixty-one million, seven hundred ninety-seven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 11544931 23089862 46179724 57724655 92359448 115449310 230898620 461797240