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23289948 = 223211103571
BaseRepresentation
bin101100011011…
…0000001011100
31121211020210200
41120312001130
521430234243
62151103500
7401650503
oct130660134
947736720
1023289948
11121680a0
127971b90
134a95a46
14314383a
1520a0ad3
hex163605c

23289948 has 72 divisors (see below), whose sum is σ = 64960896. Its totient is φ = 6976800.

The previous prime is 23289943. The next prime is 23289979. The reversal of 23289948 is 84998232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23289943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40503 + ... + 41073.

Almost surely, 223289948 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 23289948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32480448).

23289948 is an abundant number, since it is smaller than the sum of its proper divisors (41670948).

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

23289948 is a wasteful number, since it uses less digits than its factorization.

23289948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 690 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 23289948 is about 4825.9660172861. The cubic root of 23289948 is about 285.5767452760.

The spelling of 23289948 in words is "twenty-three million, two hundred eighty-nine thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 103 132 198 206 309 396 412 571 618 927 1133 1142 1236 1713 1854 2266 2284 3399 3426 3708 4532 5139 6281 6798 6852 10197 10278 12562 13596 18843 20394 20556 25124 37686 40788 56529 58813 75372 113058 117626 176439 226116 235252 352878 529317 646943 705756 1058634 1293886 1940829 2117268 2587772 3881658 5822487 7763316 11644974 23289948