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23048600 = 2352176779
BaseRepresentation
bin101011111101…
…1000110011000
31121100222201212
41113323012120
521400023400
62142002252
7366624041
oct127730630
947328655
1023048600
1112012833
127876388
134a0cc33
1430bd8c8
152054335
hex15fb198

23048600 has 48 divisors (see below), whose sum is σ = 56748600. Its totient is φ = 8675840.

The previous prime is 23048581. The next prime is 23048633. The reversal of 23048600 is 684032.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11 + ... + 6789.

Almost surely, 223048600 is an apocalyptic number.

23048600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23048600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28374300).

23048600 is an abundant number, since it is smaller than the sum of its proper divisors (33700000).

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

23048600 is a wasteful number, since it uses less digits than its factorization.

23048600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6812 (or 6803 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 23048600 is about 4800.8957497534. The cubic root of 23048600 is about 284.5868642171.

The spelling of 23048600 in words is "twenty-three million, forty-eight thousand, six hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 6779 13558 27116 33895 54232 67790 115243 135580 169475 230486 271160 338950 460972 576215 677900 921944 1152430 1355800 2304860 2881075 4609720 5762150 11524300 23048600