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2924661940 = 225157931421
BaseRepresentation
bin1010111001010010…
…1100110010110100
321112211021012221121
42232110230302310
521442203140230
61202113353324
7132322134124
oct25624546264
97484235847
102924661940
111270993892
12697568844
13377bc70c5
141da5d4c84
15121b6177a
hexae52ccb4

2924661940 has 24 divisors (see below), whose sum is σ = 6180916392. Its totient is φ = 1162412160.

The previous prime is 2924661931. The next prime is 2924661941. The reversal of 2924661940 is 491664292.

2924661940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 914215696 + 2010446244 = 30236^2 + 44838^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2924661941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 462571 + ... + 468850.

It is an arithmetic number, because the mean of its divisors is an integer number (257538183).

Almost surely, 22924661940 is an apocalyptic number.

2924661940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2924661940 is an abundant number, since it is smaller than the sum of its proper divisors (3256254452).

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

2924661940 is a wasteful number, since it uses less digits than its factorization.

2924661940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931587 (or 931585 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 2924661940 is about 54080.1436758446. The cubic root of 2924661940 is about 1430.0741546301.

The spelling of 2924661940 in words is "two billion, nine hundred twenty-four million, six hundred sixty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 157 314 628 785 1570 3140 931421 1862842 3725684 4657105 9314210 18628420 146233097 292466194 584932388 731165485 1462330970 2924661940