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8024940924 = 223711136431039
BaseRepresentation
bin1110111100101001…
…01110000101111100
3202201021100020102020
413132110232011330
5112413341102144
63404150200140
7402602605140
oct73624560574
922637306366
108024940924
113448962990
12167b653050
139ab766470
14561b1b220
1531e7c5419
hex1de52e17c

8024940924 has 192 divisors, whose sum is σ = 25204408320. Its totient is φ = 1919220480.

The previous prime is 8024940863. The next prime is 8024940943. The reversal of 8024940924 is 4290494208.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 7723197 + ... + 7724235.

It is an arithmetic number, because the mean of its divisors is an integer number (131272960).

Almost surely, 28024940924 is an apocalyptic number.

8024940924 is a gapful number since it is divisible by the number (84) 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 8024940924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12602204160).

8024940924 is an abundant number, since it is smaller than the sum of its proper divisors (17179467396).

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

8024940924 is a wasteful number, since it uses less digits than its factorization.

8024940924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 8024940924 is about 89582.0346051595. The cubic root of 8024940924 is about 2002.0762541718.

The spelling of 8024940924 in words is "eight billion, twenty-four million, nine hundred forty thousand, nine hundred twenty-four".