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2492188608 = 26373134171
BaseRepresentation
bin1001010010001011…
…1100011111000000
320102200111022001210
42110202330133000
520101000013413
61051144130120
7115521153000
oct22442743700
96380438053
102492188608
111069859208
12596766940
13309425b20
14198dba000
15e8bd63c3
hex948bc7c0

2492188608 has 448 divisors, whose sum is σ = 8602675200. Its totient is φ = 632217600.

The previous prime is 2492188603. The next prime is 2492188651. The reversal of 2492188608 is 8068812942.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×24921886082 = 12422008115689955328, 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 (2492188603) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35101213 + ... + 35101283.

It is an arithmetic number, because the mean of its divisors is an integer number (19202400).

Almost surely, 22492188608 is an apocalyptic number.

2492188608 is a gapful number since it is divisible by the number (28) 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 2492188608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4301337600).

2492188608 is an abundant number, since it is smaller than the sum of its proper divisors (6110486592).

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

2492188608 is a wasteful number, since it uses less digits than its factorization.

2492188608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 2492188608 is about 49921.8249666416. The cubic root of 2492188608 is about 1355.7937748180.

The spelling of 2492188608 in words is "two billion, four hundred ninety-two million, one hundred eighty-eight thousand, six hundred eight".