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23812992 = 273272953
BaseRepresentation
bin101101011010…
…1101110000000
31122210211021200
41122311232000
522044003432
62210221200
7406256430
oct132655600
948724250
1023812992
1112495065
127b84800
134c19b38
14323c2c0
152155a7c
hex16b5b80

23812992 has 96 divisors (see below), whose sum is σ = 78340080. Its totient is φ = 6801408.

The previous prime is 23812979. The next prime is 23812993. The reversal of 23812992 is 29921832.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23812993) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6588 + ... + 9540.

Almost surely, 223812992 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 23812992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39170040).

23812992 is an abundant number, since it is smaller than the sum of its proper divisors (54527088).

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

23812992 is a wasteful number, since it uses less digits than its factorization.

23812992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980 (or 2965 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 23812992 is about 4879.8557355725. The cubic root of 23812992 is about 287.6987590934.

The spelling of 23812992 in words is "twenty-three million, eight hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 2953 4032 5906 8064 8859 11812 17718 20671 23624 26577 35436 41342 47248 53154 62013 70872 82684 94496 106308 124026 141744 165368 186039 188992 212616 248052 283488 330736 372078 377984 425232 496104 566976 661472 744156 850464 992208 1133952 1322944 1488312 1700928 1984416 2645888 2976624 3401856 3968832 5953248 7937664 11906496 23812992