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1045297008 = 2433721923113
BaseRepresentation
bin111110010011011…
…111011101110000
32200211220120221000
4332103133131300
54120044001013
6251420202000
734621610100
oct7623373560
92624816830
101045297008
11497052128
12252099300
13138739a52
149cb7d200
1561b7c973
hex3e4df770

1045297008 has 480 divisors, whose sum is σ = 3867609600. Its totient is φ = 268240896.

The previous prime is 1045296997. The next prime is 1045297049. The reversal of 1045297008 is 8007925401.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9250360 + ... + 9250472.

It is an arithmetic number, because the mean of its divisors is an integer number (8057520).

Almost surely, 21045297008 is an apocalyptic number.

1045297008 is a gapful number since it is divisible by the number (18) 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 1045297008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933804800).

1045297008 is an abundant number, since it is smaller than the sum of its proper divisors (2822312592).

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

1045297008 is a wasteful number, since it uses less digits than its factorization.

1045297008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1045297008 is about 32331.0533079267. The cubic root of 1045297008 is about 1014.8765922098.

The spelling of 1045297008 in words is "one billion, forty-five million, two hundred ninety-seven thousand, eight".