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23057946 = 234317449
BaseRepresentation
bin101011111110…
…1011000011010
31121101110120000
41113331120122
521400323241
62142113430
7366663222
oct127753032
947343500
1023057946
111201985a
12787b876
134a14272
1430c3082
152056eb6
hex15fd61a

23057946 has 40 divisors (see below), whose sum is σ = 51945300. Its totient is φ = 7644672.

The previous prime is 23057941. The next prime is 23057971. The reversal of 23057946 is 64975032.

It can be written as a sum of positive squares in 2 ways, for example, as 21986721 + 1071225 = 4689^2 + 1035^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23057946.

It is not an unprimeable number, because it can be changed into a prime (23057941) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51130 + ... + 51578.

Almost surely, 223057946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23057946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25972650).

23057946 is an abundant number, since it is smaller than the sum of its proper divisors (28887354).

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

23057946 is a wasteful number, since it uses less digits than its factorization.

23057946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 23057946 is about 4801.8690111247. The cubic root of 23057946 is about 284.6253248237.

The spelling of 23057946 in words is "twenty-three million, fifty-seven thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 317 449 634 898 951 1347 1902 2694 2853 4041 5706 8082 8559 12123 17118 24246 25677 36369 51354 72738 142333 284666 426999 853998 1280997 2561994 3842991 7685982 11528973 23057946