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422713944 = 233313114939
BaseRepresentation
bin11001001100100…
…001101001011000
31002110102002112000
4121030201221120
51331203321234
6105540121000
713322003112
oct3114415130
91073362460
10422713944
111a767a274
12b9696160
13697650c3
14401d83b2
152719d899
hex19321a58

422713944 has 64 divisors (see below), whose sum is σ = 1183248000. Its totient is φ = 139819680.

The previous prime is 422713943. The next prime is 422713969. The reversal of 422713944 is 449317224.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 422713899 and 422713908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422713943) 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, 20827 + ... + 35765.

It is an arithmetic number, because the mean of its divisors is an integer number (18488250).

Almost surely, 2422713944 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 422713944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591624000).

422713944 is an abundant number, since it is smaller than the sum of its proper divisors (760534056).

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

422713944 is a wasteful number, since it uses less digits than its factorization.

422713944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15085 (or 15075 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 422713944 is about 20560.0083657571. The cubic root of 422713944 is about 750.4968228168.

The spelling of 422713944 in words is "four hundred twenty-two million, seven hundred thirteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 131 216 262 393 524 786 1048 1179 1572 2358 3144 3537 4716 7074 9432 14148 14939 28296 29878 44817 59756 89634 119512 134451 179268 268902 358536 403353 537804 806706 1075608 1613412 1957009 3226824 3914018 5871027 7828036 11742054 15656072 17613081 23484108 35226162 46968216 52839243 70452324 105678486 140904648 211356972 422713944