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2575423488 = 21131153719
BaseRepresentation
bin1001100110000001…
…1101100000000000
320122111010001212010
42121200131200000
520233302022423
61103320132520
7120551511201
oct23140354000
96574101763
102575423488
111101839870
125ba607140
13320749731
141a60855a8
15101178693
hex9981d800

2575423488 has 192 divisors, whose sum is σ = 7642252800. Its totient is φ = 764641280.

The previous prime is 2575423469. The next prime is 2575423489. The reversal of 2575423488 is 8843245752.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×25754234882 = 13265612285084172288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2575423489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3581593 + ... + 3582311.

It is an arithmetic number, because the mean of its divisors is an integer number (39803400).

Almost surely, 22575423488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2575423488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3821126400).

2575423488 is an abundant number, since it is smaller than the sum of its proper divisors (5066829312).

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

2575423488 is a wasteful number, since it uses less digits than its factorization.

2575423488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 788 counting only the distinct ones).

The product of its digits is 2150400, while the sum is 48.

The square root of 2575423488 is about 50748.6304051646. The cubic root of 2575423488 is about 1370.7225286389.

The spelling of 2575423488 in words is "two billion, five hundred seventy-five million, four hundred twenty-three thousand, four hundred eighty-eight".