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461241066 = 2311134191283
BaseRepresentation
bin11011011111011…
…111101011101010
31012010220110210110
4123133133223222
51421034203231
6113433555150
714300325066
oct3337375352
91163813713
10461241066
112173a4270
1210a575ab6
1374734410
1445386aa6
152a75e046
hex1b7dfaea

461241066 has 64 divisors (see below), whose sum is σ = 1087188480. Its totient is φ = 128610240.

The previous prime is 461241049. The next prime is 461241071. The reversal of 461241066 is 660142164.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358861 + ... + 360143.

It is an arithmetic number, because the mean of its divisors is an integer number (16987320).

Almost surely, 2461241066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461241066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543594240).

461241066 is an abundant number, since it is smaller than the sum of its proper divisors (625947414).

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

461241066 is a wasteful number, since it uses less digits than its factorization.

461241066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 461241066 is about 21476.5236013653. The cubic root of 461241066 is about 772.6378669113.

The spelling of 461241066 in words is "four hundred sixty-one million, two hundred forty-one thousand, sixty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 419 429 838 858 1257 1283 2514 2566 3849 4609 5447 7698 9218 10894 13827 14113 16341 16679 27654 28226 32682 33358 42339 50037 59917 84678 100074 119834 179751 183469 359502 366938 537577 550407 1075154 1100814 1612731 3225462 5913347 6988501 11826694 13977002 17740041 20965503 35480082 41931006 76873511 153747022 230620533 461241066