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23455296 = 263243947
BaseRepresentation
bin101100101111…
…0011001000000
31122010122121200
41121132121000
522001032141
62154421200
7403236534
oct131363100
948118550
1023455296
1112270347
127a31800
134b23097
143187bc4
1520d4ab6
hex165e640

23455296 has 84 divisors (see below), whose sum is σ = 68866512. Its totient is φ = 7628544.

The previous prime is 23455261. The next prime is 23455301. The reversal of 23455296 is 69255432.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23455296.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 24295 + ... + 25241.

Almost surely, 223455296 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 23455296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34433256).

23455296 is an abundant number, since it is smaller than the sum of its proper divisors (45411216).

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

23455296 is a wasteful number, since it uses less digits than its factorization.

23455296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 995 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 23455296 is about 4843.0667969790. The cubic root of 23455296 is about 286.2509737259.

The spelling of 23455296 in words is "twenty-three million, four hundred fifty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 129 144 172 192 258 288 344 387 516 576 688 774 947 1032 1376 1548 1894 2064 2752 2841 3096 3788 4128 5682 6192 7576 8256 8523 11364 12384 15152 17046 22728 24768 30304 34092 40721 45456 60608 68184 81442 90912 122163 136368 162884 181824 244326 272736 325768 366489 488652 545472 651536 732978 977304 1303072 1465956 1954608 2606144 2931912 3909216 5863824 7818432 11727648 23455296