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422688 = 25371737
BaseRepresentation
bin1100111001100100000
3210110211010
41213030200
5102011223
613020520
73410220
oct1471440
9713733
10422688
11269632
12184740
1311a516
14b0080
1585393
hex67320

422688 has 96 divisors (see below), whose sum is σ = 1378944. Its totient is φ = 110592.

The previous prime is 422657. The next prime is 422689. The reversal of 422688 is 886224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (422689) 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, 11406 + ... + 11442.

It is an arithmetic number, because the mean of its divisors is an integer number (14364).

2422688 is an apocalyptic number.

422688 is a gapful number since it is divisible by the number (48) 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 422688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689472).

422688 is an abundant number, since it is smaller than the sum of its proper divisors (956256).

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

422688 is a wasteful number, since it uses less digits than its factorization.

422688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 66 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 422688 is about 650.1445993008. The cubic root of 422688 is about 75.0481468629.

It can be divided in two parts, 42 and 2688, that multiplied together give a square (112896 = 3362).

The spelling of 422688 in words is "four hundred twenty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 37 42 48 51 56 68 74 84 96 102 111 112 119 136 148 168 204 222 224 238 259 272 296 336 357 408 444 476 518 544 592 629 672 714 777 816 888 952 1036 1184 1258 1428 1554 1632 1776 1887 1904 2072 2516 2856 3108 3552 3774 3808 4144 4403 5032 5712 6216 7548 8288 8806 10064 11424 12432 13209 15096 17612 20128 24864 26418 30192 35224 52836 60384 70448 105672 140896 211344 422688