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23054592 = 283112729
BaseRepresentation
bin101011111110…
…0100100000000
31121101021221210
41113330210000
521400221332
62142050120
7366650361
oct127744400
947337853
1023054592
1112017290
127879940
134a12892
1430c1b68
152055ecc
hex15fc900

23054592 has 72 divisors (see below), whose sum is σ = 66961440. Its totient is φ = 6983680.

The previous prime is 23054569. The next prime is 23054597. The reversal of 23054592 is 29545032.

It is not an unprimeable number, because it can be changed into a prime (23054597) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7084 + ... + 9812.

It is an arithmetic number, because the mean of its divisors is an integer number (930020).

Almost surely, 223054592 is an apocalyptic number.

23054592 is a gapful number since it is divisible by the number (22) 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 23054592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33480720).

23054592 is an abundant number, since it is smaller than the sum of its proper divisors (43906848).

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

23054592 is a wasteful number, since it uses less digits than its factorization.

23054592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 23054592 is about 4801.5197594095. The cubic root of 23054592 is about 284.6115236576.

The spelling of 23054592 in words is "twenty-three million, fifty-four thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2729 2816 4224 5458 8187 8448 10916 16374 21832 30019 32748 43664 60038 65496 87328 90057 120076 130992 174656 180114 240152 261984 349312 360228 480304 523968 698624 720456 960608 1047936 1440912 1921216 2095872 2881824 3842432 5763648 7684864 11527296 23054592