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26234928 = 243431653
BaseRepresentation
bin110010000010…
…1000000110000
31211100212120000
41210011000300
523204004203
62334150000
7435664446
oct144050060
954325500
1026234928
1113899765
128952300
135587335
1436acb96
1524834a3
hex1905030

26234928 has 100 divisors (see below), whose sum is σ = 78500928. Its totient is φ = 8449920.

The previous prime is 26234917. The next prime is 26234933. The reversal of 26234928 is 82943262.

26234928 is a `hidden beast` number, since 2 + 623 + 4 + 9 + 28 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 26234892 and 26234901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39850 + ... + 40502.

Almost surely, 226234928 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 26234928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39250464).

26234928 is an abundant number, since it is smaller than the sum of its proper divisors (52266000).

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

26234928 is a wasteful number, since it uses less digits than its factorization.

26234928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 689 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 26234928 is about 5122.0042951954. The cubic root of 26234928 is about 297.1392062456.

The spelling of 26234928 in words is "twenty-six million, two hundred thirty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 81 93 108 124 144 162 186 216 248 279 324 372 432 496 558 648 653 744 837 1116 1296 1306 1488 1674 1959 2232 2511 2612 3348 3918 4464 5022 5224 5877 6696 7836 10044 10448 11754 13392 15672 17631 20088 20243 23508 31344 35262 40176 40486 47016 52893 60729 70524 80972 94032 105786 121458 141048 161944 182187 211572 242916 282096 323888 364374 423144 485832 546561 728748 846288 971664 1093122 1457496 1639683 2186244 2914992 3279366 4372488 6558732 8744976 13117464 26234928