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2930826024 = 233372674133
BaseRepresentation
bin1010111010110000…
…1101101100101000
321120020212101111000
42232230031230220
522000242413044
61202453435000
7132425416200
oct25654155450
97506771430
102930826024
111274413a75
1269963ba60
133792749a9
141db35b400
1512247cd69
hexaeb0db28

2930826024 has 192 divisors, whose sum is σ = 9614030400. Its totient is φ = 824681088.

The previous prime is 2930826023. The next prime is 2930826071. The reversal of 2930826024 is 4206280392.

2930826024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 2930826024.

It is not an unprimeable number, because it can be changed into a prime (2930826023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 707062 + ... + 711194.

It is an arithmetic number, because the mean of its divisors is an integer number (50073075).

Almost surely, 22930826024 is an apocalyptic number.

2930826024 is a gapful number since it is divisible by the number (24) 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 2930826024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4807015200).

2930826024 is an abundant number, since it is smaller than the sum of its proper divisors (6683204376).

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

2930826024 is a wasteful number, since it uses less digits than its factorization.

2930826024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4229 (or 4212 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2930826024 is about 54137.1039491401. The cubic root of 2930826024 is about 1431.0781352235.

The spelling of 2930826024 in words is "two billion, nine hundred thirty million, eight hundred twenty-six thousand, twenty-four".