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8290392 = 23311311013
BaseRepresentation
bin11111101000000001011000
3120121012021120
4133220001120
54110243032
6453405240
7130316145
oct37500130
916535246
108290392
114752770
122939820
131943676
14115b3cc
15adb62c
hex7e8058

8290392 has 64 divisors (see below), whose sum is σ = 23362560. Its totient is φ = 2428800.

The previous prime is 8290369. The next prime is 8290393. The reversal of 8290392 is 2930928.

8290392 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8290393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7678 + ... + 8690.

It is an arithmetic number, because the mean of its divisors is an integer number (365040).

Almost surely, 28290392 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 8290392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11681280).

8290392 is an abundant number, since it is smaller than the sum of its proper divisors (15072168).

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

8290392 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 12 representation: 8290392 = (2939820)12.

8290392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 8290392 is about 2879.3040825866. The cubic root of 8290392 is about 202.3912294991.

The spelling of 8290392 in words is "eight million, two hundred ninety thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 1013 1023 1364 2026 2046 2728 3039 4052 4092 6078 8104 8184 11143 12156 22286 24312 31403 33429 44572 62806 66858 89144 94209 125612 133716 188418 251224 267432 345433 376836 690866 753672 1036299 1381732 2072598 2763464 4145196 8290392