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290268888 = 233713294583
BaseRepresentation
bin10001010011010…
…010011011011000
3202020012012001120
4101103102123120
51043302101023
644445245240
710123146660
oct2123223330
9666165046
10290268888
11139938348
1281263820
13481a1750
142a79d1a0
151a73a8e3
hex114d26d8

290268888 has 128 divisors (see below), whose sum is σ = 924134400. Its totient is φ = 73898496.

The previous prime is 290268821. The next prime is 290268893. The reversal of 290268888 is 888862092.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 290268888.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61045 + ... + 65627.

It is an arithmetic number, because the mean of its divisors is an integer number (7219800).

Almost surely, 2290268888 is an apocalyptic number.

290268888 is a gapful number since it is divisible by the number (28) 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 290268888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462067200).

290268888 is an abundant number, since it is smaller than the sum of its proper divisors (633865512).

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

290268888 is a wasteful number, since it uses less digits than its factorization.

290268888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4641 (or 4637 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The square root of 290268888 is about 17037.2793602735. The cubic root of 290268888 is about 662.1151061092.

The spelling of 290268888 in words is "two hundred ninety million, two hundred sixty-eight thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 29 39 42 52 56 58 78 84 87 91 104 116 156 168 174 182 203 232 273 312 348 364 377 406 546 609 696 728 754 812 1092 1131 1218 1508 1624 2184 2262 2436 2639 3016 4524 4583 4872 5278 7917 9048 9166 10556 13749 15834 18332 21112 27498 31668 32081 36664 54996 59579 63336 64162 96243 109992 119158 128324 132907 178737 192486 238316 256648 265814 357474 384972 398721 417053 476632 531628 714948 769944 797442 834106 930349 1063256 1251159 1429896 1594884 1668212 1727791 1860698 2502318 2791047 3189768 3336424 3455582 3721396 5004636 5183373 5582094 6911164 7442792 10009272 10366746 11164188 12094537 13822328 20733492 22328376 24189074 36283611 41466984 48378148 72567222 96756296 145134444 290268888