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8090442 = 23631179
BaseRepresentation
bin11110110111001101001010
3120020001000000
4132313031022
54032343232
6445223430
7125524203
oct36671512
916201000
108090442
114626518
122861b76
1318a3659
1411085aa
15a9c27c
hex7b734a

8090442 has 56 divisors (see below), whose sum is σ = 18887040. Its totient is φ = 2595240.

The previous prime is 8090441. The next prime is 8090443. The reversal of 8090442 is 2440908.

It is an interprime number because it is at equal distance from previous prime (8090441) and next prime (8090443).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8090441) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 45109 + ... + 45287.

Almost surely, 28090442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8090442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9443520).

8090442 is an abundant number, since it is smaller than the sum of its proper divisors (10796598).

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

8090442 is a wasteful number, since it uses less digits than its factorization.

8090442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8090442 is about 2844.3702290665. The cubic root of 8090442 is about 200.7508608455.

The spelling of 8090442 in words is "eight million, ninety thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 179 186 243 279 358 486 537 558 729 837 1074 1458 1611 1674 2511 3222 4833 5022 5549 7533 9666 11098 14499 15066 16647 22599 28998 33294 43497 45198 49941 86994 99882 130491 149823 260982 299646 449469 898938 1348407 2696814 4045221 8090442