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465081024 = 26313717681
BaseRepresentation
bin11011101110001…
…001001011000000
31012102010120020010
4123232021023000
51423030043044
6114052144520
714345060232
oct3356111300
91172116203
10465081024
11219587291
1210b908140
137547a195
1445aa6252
152ac6bbb9
hex1bb892c0

465081024 has 56 divisors (see below), whose sum is σ = 1239578928. Its totient is φ = 153886720.

The previous prime is 465081017. The next prime is 465081037. The reversal of 465081024 is 420180564.

It is a junction number, because it is equal to n+sod(n) for n = 465080982 and 465081000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17464 + ... + 35144.

It is an arithmetic number, because the mean of its divisors is an integer number (22135338).

Almost surely, 2465081024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465081024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619789464).

465081024 is an abundant number, since it is smaller than the sum of its proper divisors (774497904).

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

465081024 is a wasteful number, since it uses less digits than its factorization.

465081024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17833 (or 17823 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 465081024 is about 21565.7372700309. The cubic root of 465081024 is about 774.7760846008.

The spelling of 465081024 in words is "four hundred sixty-five million, eighty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 137 192 274 411 548 822 1096 1644 2192 3288 4384 6576 8768 13152 17681 26304 35362 53043 70724 106086 141448 212172 282896 424344 565792 848688 1131584 1697376 2422297 3394752 4844594 7266891 9689188 14533782 19378376 29067564 38756752 58135128 77513504 116270256 155027008 232540512 465081024