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461068632 = 23339972141
BaseRepresentation
bin11011011110110…
…101100101011000
31012010120201021000
4123132311211120
51421013144012
6113430145000
714266006263
oct3336654530
91163521230
10461068632
11217296762
1210a4b2160
13746a3a9b
144533dcda
152a727ddc
hex1b7b5958

461068632 has 64 divisors (see below), whose sum is σ = 1282629600. Its totient is φ = 153463680.

The previous prime is 461068631. The next prime is 461068681. The reversal of 461068632 is 236860164.

461068632 is a `hidden beast` number, since 4 + 6 + 10 + 6 + 8 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461068631) 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 15 ways as a sum of consecutive naturals, for example, 214282 + ... + 216422.

Almost surely, 2461068632 is an apocalyptic number.

It is an amenable number.

461068632 is an abundant number, since it is smaller than the sum of its proper divisors (821560968).

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

461068632 is a wasteful number, since it uses less digits than its factorization.

461068632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 461068632 is about 21472.5087495616. The cubic root of 461068632 is about 772.5415718979.

The spelling of 461068632 in words is "four hundred sixty-one million, sixty-eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 997 1994 2141 2991 3988 4282 5982 6423 7976 8564 8973 11964 12846 17128 17946 19269 23928 25692 26919 35892 38538 51384 53838 57807 71784 77076 107676 115614 154152 215352 231228 462456 2134577 4269154 6403731 8538308 12807462 17076616 19211193 25614924 38422386 51229848 57633579 76844772 115267158 153689544 230534316 461068632