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26305552 = 2472132989
BaseRepresentation
bin110010001011…
…0010000010000
31211111110102201
41210112100100
523213234202
62335452544
7436410400
oct144262020
954443381
1026305552
1113937829
128987154
1355b0520
1436ca800
152499387
hex1916410

26305552 has 120 divisors (see below), whose sum is σ = 66792600. Its totient is φ = 9934848.

The previous prime is 26305547. The next prime is 26305561. The reversal of 26305552 is 25550362.

It can be written as a sum of positive squares in 4 ways, for example, as 50176 + 26255376 = 224^2 + 5124^2 .

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 26305552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295524 + ... + 295612.

It is an arithmetic number, because the mean of its divisors is an integer number (556605).

Almost surely, 226305552 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 26305552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33396300).

26305552 is an abundant number, since it is smaller than the sum of its proper divisors (40487048).

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

26305552 is a wasteful number, since it uses less digits than its factorization.

26305552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The square root of 26305552 is about 5128.8938378563. The cubic root of 26305552 is about 297.4055986525.

The spelling of 26305552 in words is "twenty-six million, three hundred five thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 49 52 56 58 89 91 98 104 112 116 178 182 196 203 208 232 356 364 377 392 406 464 623 637 712 728 754 784 812 1157 1246 1274 1421 1424 1456 1508 1624 2314 2492 2548 2581 2639 2842 3016 3248 4361 4628 4984 5096 5162 5278 5684 6032 8099 8722 9256 9968 10192 10324 10556 11368 16198 17444 18067 18473 18512 20648 21112 22736 32396 33553 34888 36134 36946 41296 42224 56693 64792 67106 69776 72268 73892 113386 126469 129584 134212 144536 147784 226772 234871 252938 268424 289072 295568 453544 469742 505876 536848 907088 939484 1011752 1644097 1878968 2023504 3288194 3757936 6576388 13152776 26305552