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1023825096 = 2336731809
BaseRepresentation
bin111101000001100…
…101010011001000
32122100111201000000
4331001211103020
54044044400341
6245332043000
734241240550
oct7501452310
92570451000
101023825096
11485a16a48
12246a63460
1313415c688
1499d90160
155ed3a8b6
hex3d0654c8

1023825096 has 224 divisors, whose sum is σ = 3399667200. Its totient is φ = 282735360.

The previous prime is 1023825043. The next prime is 1023825157. The reversal of 1023825096 is 6905283201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1023825096.

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 55 ways as a sum of consecutive naturals, for example, 1265140 + ... + 1265948.

Almost surely, 21023825096 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 1023825096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699833600).

1023825096 is an abundant number, since it is smaller than the sum of its proper divisors (2375842104).

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

1023825096 is an equidigital number, since it uses as much as digits as its factorization.

1023825096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1023825096 is about 31997.2670082931. The cubic root of 1023825096 is about 1007.8794498693.

The spelling of 1023825096 in words is "one billion, twenty-three million, eight hundred twenty-five thousand, ninety-six".