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23261392 = 2471179239
BaseRepresentation
bin101100010111…
…1000011010000
31121202210122001
41120233003100
521423331032
62150323344
7401501320
oct130570320
947683561
1023261392
11121486a0
127959554
134a85a4b
143137280
1520973e7
hex162f0d0

23261392 has 80 divisors (see below), whose sum is σ = 57139200. Its totient is φ = 8910720.

The previous prime is 23261387. The next prime is 23261429. The reversal of 23261392 is 29316232.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 23261392.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 97209 + ... + 97447.

It is an arithmetic number, because the mean of its divisors is an integer number (714240).

Almost surely, 223261392 is an apocalyptic number.

23261392 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 23261392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28569600).

23261392 is an abundant number, since it is smaller than the sum of its proper divisors (33877808).

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

23261392 is a wasteful number, since it uses less digits than its factorization.

23261392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 338 counting only the distinct ones).

The product of its digits is 3888, while the sum is 28.

The square root of 23261392 is about 4823.0065312002. The cubic root of 23261392 is about 285.4599815295.

It can be divided in two parts, 23261 and 392, that added together give a triangular number (23653 = T217).

The spelling of 23261392 in words is "twenty-three million, two hundred sixty-one thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 79 88 112 154 158 176 239 308 316 478 553 616 632 869 956 1106 1232 1264 1673 1738 1912 2212 2629 3346 3476 3824 4424 5258 6083 6692 6952 8848 10516 12166 13384 13904 18403 18881 21032 24332 26768 36806 37762 42064 48664 73612 75524 97328 132167 147224 151048 207691 264334 294448 302096 415382 528668 830764 1057336 1453837 1661528 2114672 2907674 3323056 5815348 11630696 23261392