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2593429920 = 253354753241
BaseRepresentation
bin1001101010010100…
…1001100110100000
320200201222220001000
42122211021212200
520302404224140
61105202112000
7121160535114
oct23245114640
96621886030
102593429920
111110a18314
1260464b600
133243b2623
141a8611744
15102a33a30
hex9a9499a0

2593429920 has 384 divisors, whose sum is σ = 9484231680. Its totient is φ = 661340160.

The previous prime is 2593429913. The next prime is 2593429963. The reversal of 2593429920 is 299243952.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 10761000 + ... + 10761240.

It is an arithmetic number, because the mean of its divisors is an integer number (24698520).

Almost surely, 22593429920 is an apocalyptic number.

2593429920 is a gapful number since it is divisible by the number (20) 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 2593429920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4742115840).

2593429920 is an abundant number, since it is smaller than the sum of its proper divisors (6890801760).

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

2593429920 is a wasteful number, since it uses less digits than its factorization.

2593429920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 2593429920 is about 50925.7294498567. The cubic root of 2593429920 is about 1373.9096449040.

The spelling of 2593429920 in words is "two billion, five hundred ninety-three million, four hundred twenty-nine thousand, nine hundred twenty".