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461132742 = 23728033917
BaseRepresentation
bin11011011111000…
…101001111000110
31012010200222012110
4123133011033012
51421022221432
6113431401450
714266364220
oct3337051706
91163628173
10461132742
1121732a944
1210a523286
13746c7015
1445359410
152a73bdcc
hex1b7c53c6

461132742 has 32 divisors (see below), whose sum is σ = 1054662912. Its totient is φ = 131671584.

The previous prime is 461132723. The next prime is 461132743. The reversal of 461132742 is 247231164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461132743) 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, 115768 + ... + 119684.

It is an arithmetic number, because the mean of its divisors is an integer number (32958216).

Almost surely, 2461132742 is an apocalyptic number.

461132742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

461132742 is an abundant number, since it is smaller than the sum of its proper divisors (593530170).

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

461132742 is a wasteful number, since it uses less digits than its factorization.

461132742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6732.

The product of its digits is 8064, while the sum is 30.

The square root of 461132742 is about 21474.0015367421. The cubic root of 461132742 is about 772.5773766505.

The spelling of 461132742 in words is "four hundred sixty-one million, one hundred thirty-two thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 2803 3917 5606 7834 8409 11751 16818 19621 23502 27419 39242 54838 58863 82257 117726 164514 10979351 21958702 32938053 65876106 76855457 153710914 230566371 461132742