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1045318152 = 233532333527
BaseRepresentation
bin111110010011100…
…100101000001000
32200211221122221010
4332103210220020
54120100140102
6251420443520
734622025534
oct7623445010
92624848833
101045318152
11497066aaa
122520a95a0
13138746568
149cb86bc4
1561b83d6c
hex3e4e4a08

1045318152 has 64 divisors (see below), whose sum is σ = 2674788480. Its totient is φ = 340301312.

The previous prime is 1045318147. The next prime is 1045318177. The reversal of 1045318152 is 2518135401.

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 15 ways as a sum of consecutive naturals, for example, 294613 + ... + 298139.

It is an arithmetic number, because the mean of its divisors is an integer number (41793570).

Almost surely, 21045318152 is an apocalyptic number.

1045318152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045318152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337394240).

1045318152 is an abundant number, since it is smaller than the sum of its proper divisors (1629470328).

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

1045318152 is a wasteful number, since it uses less digits than its factorization.

1045318152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3822 (or 3818 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 1045318152 is about 32331.3802984036. The cubic root of 1045318152 is about 1014.8834350516.

The spelling of 1045318152 in words is "one billion, forty-five million, three hundred eighteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 233 318 424 466 636 699 932 1272 1398 1864 2796 3527 5592 7054 10581 12349 14108 21162 24698 28216 37047 42324 49396 74094 84648 98792 148188 186931 296376 373862 560793 747724 821791 1121586 1495448 1643582 2243172 2465373 3287164 4486344 4930746 6574328 9861492 19722984 43554923 87109846 130664769 174219692 261329538 348439384 522659076 1045318152