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26528256 = 293319101
BaseRepresentation
bin110010100110…
…0101000000000
31211220202221000
41211030220000
523242401011
62344332000
7441325566
oct145145000
954822830
1026528256
1113a7a087
128a74000
13565a9c1
143747a36
1524e0356
hex194ca00

26528256 has 160 divisors (see below), whose sum is σ = 83476800. Its totient is φ = 8294400.

The previous prime is 26528231. The next prime is 26528261. The reversal of 26528256 is 65282562.

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 26528256.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262606 + ... + 262706.

It is an arithmetic number, because the mean of its divisors is an integer number (521730).

Almost surely, 226528256 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 26528256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41738400).

26528256 is an abundant number, since it is smaller than the sum of its proper divisors (56948544).

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

26528256 is a wasteful number, since it uses less digits than its factorization.

26528256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 125 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 26528256 is about 5150.5588046347. The cubic root of 26528256 is about 298.2425243697.

The spelling of 26528256 in words is "twenty-six million, five hundred twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 101 108 114 128 144 152 171 192 202 216 228 256 288 303 304 342 384 404 432 456 512 513 576 606 608 684 768 808 864 909 912 1026 1152 1212 1216 1368 1536 1616 1728 1818 1824 1919 2052 2304 2424 2432 2727 2736 3232 3456 3636 3648 3838 4104 4608 4848 4864 5454 5472 5757 6464 6912 7272 7296 7676 8208 9696 9728 10908 10944 11514 12928 13824 14544 14592 15352 16416 17271 19392 21816 21888 23028 25856 29088 29184 30704 32832 34542 38784 43632 43776 46056 51712 51813 58176 61408 65664 69084 77568 87264 87552 92112 103626 116352 122816 131328 138168 155136 174528 184224 207252 232704 245632 262656 276336 349056 368448 414504 465408 491264 552672 698112 736896 829008 982528 1105344 1396224 1473792 1658016 2210688 2947584 3316032 4421376 6632064 8842752 13264128 26528256