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23059242 = 235172791
BaseRepresentation
bin101011111110…
…1101100101010
31121101112100000
41113331230222
521400343432
62142123430
7400000053
oct127755452
947345300
1023059242
111201a828
127880576
134a14a2b
1430c372a
15205757c
hex15fdb2a

23059242 has 48 divisors (see below), whose sum is σ = 54879552. Its totient is φ = 7231680.

The previous prime is 23059237. The next prime is 23059247. The reversal of 23059242 is 24295032.

23059242 is a `hidden beast` number, since 2 + 30 + 592 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (23059237) and next prime (23059247).

It is a super-2 number, since 2×230592422 = 1063457283229128, which contains 22 as substring.

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 (23059247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6867 + ... + 9657.

It is an arithmetic number, because the mean of its divisors is an integer number (1143324).

Almost surely, 223059242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23059242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27439776).

23059242 is an abundant number, since it is smaller than the sum of its proper divisors (31820310).

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

23059242 is a wasteful number, since it uses less digits than its factorization.

23059242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 23059242 is about 4802.0039566831. The cubic root of 23059242 is about 284.6306572951.

The spelling of 23059242 in words is "twenty-three million, fifty-nine thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 918 1377 2754 2791 4131 5582 8262 8373 16746 25119 47447 50238 75357 94894 142341 150714 226071 284682 427023 452142 678213 854046 1281069 1356426 2562138 3843207 7686414 11529621 23059242