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8422992 = 2432292017
BaseRepresentation
bin100000001000…
…011001010000
3120211221011200
4200020121100
54124013432
6500311200
7131410554
oct40103120
916757150
108422992
114833356
1229a2500
13198bb26
141193864
15b15a7c
hex808650

8422992 has 60 divisors (see below), whose sum is σ = 24397620. Its totient is φ = 2709504.

The previous prime is 8422949. The next prime is 8422993. The reversal of 8422992 is 2992248.

It can be written as a sum of positive squares in 2 ways, for example, as 5875776 + 2547216 = 2424^2 + 1596^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8422993) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3168 + ... + 5184.

It is an arithmetic number, because the mean of its divisors is an integer number (406627).

Almost surely, 28422992 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 8422992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12198810).

8422992 is an abundant number, since it is smaller than the sum of its proper divisors (15974628).

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

8422992 is a wasteful number, since it uses less digits than its factorization.

8422992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 2051 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 8422992 is about 2902.2391355641. The cubic root of 8422992 is about 203.4645705374.

The spelling of 8422992 in words is "eight million, four hundred twenty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2017 2088 4034 4176 6051 8068 12102 16136 18153 24204 32272 36306 48408 58493 72612 96816 116986 145224 175479 233972 290448 350958 467944 526437 701916 935888 1052874 1403832 2105748 2807664 4211496 8422992