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2092471920 = 2433571123547
BaseRepresentation
bin111110010111000…
…1001011001110000
312101211100120212000
41330232021121300
513241133100140
6543344534000
7102565501140
oct17456113160
95354316760
102092471920
11984167140
124a4921300
13274683486
1415bc8a920
15c3a7ba30
hex7cb89670

2092471920 has 640 divisors, whose sum is σ = 9393684480. Its totient is φ = 415134720.

The previous prime is 2092471903. The next prime is 2092471937. The reversal of 2092471920 is 291742902.

2092471920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2092471903) and next prime (2092471937).

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 127 ways as a sum of consecutive naturals, for example, 3825087 + ... + 3825633.

It is an arithmetic number, because the mean of its divisors is an integer number (14677632).

Almost surely, 22092471920 is an apocalyptic number.

2092471920 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 2092471920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4696842240).

2092471920 is an abundant number, since it is smaller than the sum of its proper divisors (7301212560).

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

2092471920 is a wasteful number, since it uses less digits than its factorization.

2092471920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2092471920 is about 45743.5451184099. The cubic root of 2092471920 is about 1279.0471261120.

The spelling of 2092471920 in words is "two billion, ninety-two million, four hundred seventy-one thousand, nine hundred twenty".