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2500388352 = 293771129
BaseRepresentation
bin1001010100001000…
…1110011000000000
320110020220220000000
42111002032120000
520110044411402
61052040000000
7115650643650
oct22502163000
96406826000
102500388352
111073449860
12599460000
1330b037147
1419a112360
15e97a5c1c
hex9508e600

2500388352 has 640 divisors, whose sum is σ = 9663667200. Its totient is φ = 627056640.

The previous prime is 2500388333. The next prime is 2500388369. The reversal of 2500388352 is 2538830052.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86220274 + ... + 86220302.

It is an arithmetic number, because the mean of its divisors is an integer number (15099480).

Almost surely, 22500388352 is an apocalyptic number.

2500388352 is a gapful number since it is divisible by the number (22) 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 2500388352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4831833600).

2500388352 is an abundant number, since it is smaller than the sum of its proper divisors (7163278848).

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

2500388352 is an frugal number, since it uses more digits than its factorization.

2500388352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2500388352 is about 50003.8833691944. The cubic root of 2500388352 is about 1357.2790812928.

The spelling of 2500388352 in words is "two billion, five hundred million, three hundred eighty-eight thousand, three hundred fifty-two".