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2092575420 = 22325132359659
BaseRepresentation
bin111110010111010…
…0010101010111100
312101211112211211100
41330232202222330
513241144403140
6543351053100
7102566411655
oct17456425274
95354484740
102092575420
11984227981
124a4971190
132746bb610
1415bcb652c
15c3a9c530
hex7cba2abc

2092575420 has 288 divisors, whose sum is σ = 7264857600. Its totient is φ = 483614208.

The previous prime is 2092575389. The next prime is 2092575439. The reversal of 2092575420 is 245752902.

It is a happy number.

2092575420 is a `hidden beast` number, since 20 + 92 + 5 + 7 + 542 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 3175051 + ... + 3175709.

It is an arithmetic number, because the mean of its divisors is an integer number (25225200).

Almost surely, 22092575420 is an apocalyptic number.

2092575420 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 2092575420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3632428800).

2092575420 is an abundant number, since it is smaller than the sum of its proper divisors (5172282180).

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

2092575420 is a wasteful number, since it uses less digits than its factorization.

2092575420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2092575420 is about 45744.6764115782. The cubic root of 2092575420 is about 1279.0682142795.

The spelling of 2092575420 in words is "two billion, ninety-two million, five hundred seventy-five thousand, four hundred twenty".