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23077248 = 273193163
BaseRepresentation
bin101100000001…
…0000110000000
31121102110000220
41120002012000
521401432443
62142343040
7400103415
oct130020600
947373026
1023077248
1112032307
12788aa80
134a1cc9c
1430ca10c
15205ca83
hex1602180

23077248 has 64 divisors (see below), whose sum is σ = 64545600. Its totient is φ = 7285248.

The previous prime is 23077247. The next prime is 23077261. The reversal of 23077248 is 84277032.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23077247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5715 + ... + 8877.

It is an arithmetic number, because the mean of its divisors is an integer number (1008525).

Almost surely, 223077248 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 23077248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32272800).

23077248 is an abundant number, since it is smaller than the sum of its proper divisors (41468352).

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

23077248 is a wasteful number, since it uses less digits than its factorization.

23077248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3199 (or 3187 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 23077248 is about 4803.8784330997. The cubic root of 23077248 is about 284.7047234217.

The spelling of 23077248 in words is "twenty-three million, seventy-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3163 3648 6326 7296 9489 12652 18978 25304 37956 50608 60097 75912 101216 120194 151824 180291 202432 240388 303648 360582 404864 480776 607296 721164 961552 1214592 1442328 1923104 2884656 3846208 5769312 7692416 11538624 23077248