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23630752 = 252397331
BaseRepresentation
bin101101000100…
…1001110100000
31122110120022001
41122021032200
522022141002
62202253344
7404600215
oct132111640
948416261
1023630752
1112380152
127ab7254
134b84bc2
1431d1b0c
15211ba87
hex16893a0

23630752 has 48 divisors (see below), whose sum is σ = 49194432. Its totient is φ = 11151360.

The previous prime is 23630749. The next prime is 23630767. The reversal of 23630752 is 25703632.

It is a self number, because there is not a number n which added to its sum of digits gives 23630752.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71227 + ... + 71557.

It is an arithmetic number, because the mean of its divisors is an integer number (1024884).

Almost surely, 223630752 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 23630752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24597216).

23630752 is an abundant number, since it is smaller than the sum of its proper divisors (25563680).

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

23630752 is a wasteful number, since it uses less digits than its factorization.

23630752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 28.

The square root of 23630752 is about 4861.1471897074. The cubic root of 23630752 is about 286.9629626800.

The spelling of 23630752 in words is "twenty-three million, six hundred thirty thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 23 32 46 92 97 184 194 331 368 388 662 736 776 1324 1552 2231 2648 3104 4462 5296 7613 8924 10592 15226 17848 30452 32107 35696 60904 64214 71392 121808 128428 243616 256856 513712 738461 1027424 1476922 2953844 5907688 11815376 23630752