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23286528 = 28341123
BaseRepresentation
bin101100011010…
…1001100000000
31121211002010000
41120311030000
521430132103
62151040000
7401634516
oct130651400
947732100
1023286528
1112165571
127970000
134a94315
1431424b6
15209eaa3
hex1635300

23286528 has 90 divisors (see below), whose sum is σ = 69498044. Its totient is φ = 7755264.

The previous prime is 23286469. The next prime is 23286539. The reversal of 23286528 is 82568232.

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

It is a junction number, because it is equal to n+sod(n) for n = 23286492 and 23286501.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20175 + ... + 21297.

Almost surely, 223286528 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 23286528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34749022).

23286528 is an abundant number, since it is smaller than the sum of its proper divisors (46211516).

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

23286528 is an equidigital number, since it uses as much as digits as its factorization.

23286528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1128 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 23286528 is about 4825.6116710734. The cubic root of 23286528 is about 285.5627661368.

The spelling of 23286528 in words is "twenty-three million, two hundred eighty-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1123 1152 1296 1728 2246 2304 2592 3369 3456 4492 5184 6738 6912 8984 10107 10368 13476 17968 20214 20736 26952 30321 35936 40428 53904 60642 71872 80856 90963 107808 121284 143744 161712 181926 215616 242568 287488 323424 363852 431232 485136 646848 727704 862464 970272 1293696 1455408 1940544 2587392 2910816 3881088 5821632 7762176 11643264 23286528