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461442048 = 2103150209
BaseRepresentation
bin11011100000010…
…000110000000000
31012011021200111020
4123200100300000
51421112121143
6113442145440
714302123044
oct3340206000
91164250436
10461442048
11217521271
1210a652280
13747a4a42
14453da024
152a79d883
hex1b810c00

461442048 has 44 divisors (see below), whose sum is σ = 1229919480. Its totient is φ = 153812992.

The previous prime is 461442043. The next prime is 461442071. The reversal of 461442048 is 840244164.

It is a super-4 number, since 4×4614420484 (a number of 36 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (461442043) 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, 72033 + ... + 78176.

Almost surely, 2461442048 is an apocalyptic number.

461442048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

461442048 is an abundant number, since it is smaller than the sum of its proper divisors (768477432).

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

461442048 is a wasteful number, since it uses less digits than its factorization.

461442048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150232 (or 150214 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 461442048 is about 21481.2022009942. The cubic root of 461442048 is about 772.7500741465.

The spelling of 461442048 in words is "four hundred sixty-one million, four hundred forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 150209 300418 450627 600836 901254 1201672 1802508 2403344 3605016 4806688 7210032 9613376 14420064 19226752 28840128 38453504 57680256 76907008 115360512 153814016 230721024 461442048