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2578423104 = 2634432269
BaseRepresentation
bin1001100110101111…
…1001110101000000
320122200202110120000
42121223321311000
520240034014404
61103504320000
7120616143345
oct23153716500
96580673500
102578423104
1111034a8494
125bb613000
13321259b5a
141a66267cc
1510156c339
hex99af9d40

2578423104 has 210 divisors, whose sum is σ = 7854227370. Its totient is φ = 836365824.

The previous prime is 2578423103. The next prime is 2578423121. The reversal of 2578423104 is 4013248752.

It is a happy number.

2578423104 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 only one way, i.e., 1619901504 + 958521600 = 40248^2 + 30960^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2578423103) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 9585082 + ... + 9585350.

Almost surely, 22578423104 is an apocalyptic number.

2578423104 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 2578423104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3927113685).

2578423104 is an abundant number, since it is smaller than the sum of its proper divisors (5275804266).

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

2578423104 is an equidigital number, since it uses as much as digits as its factorization.

2578423104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2578423104 is about 50778.1754693884. The cubic root of 2578423104 is about 1371.2544859387.

The spelling of 2578423104 in words is "two billion, five hundred seventy-eight million, four hundred twenty-three thousand, one hundred four".