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8422880 = 25561863
BaseRepresentation
bin100000001000…
…010111100000
3120211221000112
4200020113200
54124013010
6500310452
7131410334
oct40102740
916757015
108422880
114833264
1229a2428
13198ba6b
1411937c4
15b15a05
hex8085e0

8422880 has 48 divisors (see below), whose sum is σ = 20248704. Its totient is φ = 3310080.

The previous prime is 8422879. The next prime is 8422913. The reversal of 8422880 is 882248.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9329 + ... + 10191.

It is an arithmetic number, because the mean of its divisors is an integer number (421848).

Almost surely, 28422880 is an apocalyptic number.

8422880 is a gapful number since it is divisible by the number (80) 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 8422880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10124352).

8422880 is an abundant number, since it is smaller than the sum of its proper divisors (11825824).

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

8422880 is a wasteful number, since it uses less digits than its factorization.

8422880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 8422880 is about 2902.2198400535. The cubic root of 8422880 is about 203.4636687149.

The spelling of 8422880 in words is "eight million, four hundred twenty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 863 976 1220 1726 1952 2440 3452 4315 4880 6904 8630 9760 13808 17260 27616 34520 52643 69040 105286 138080 210572 263215 421144 526430 842288 1052860 1684576 2105720 4211440 8422880