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883321088 = 28132171201
BaseRepresentation
bin110100101001100…
…110100100000000
32021120010100201212
4310221212210000
53302112233323
6223352345252
730614051066
oct6451464400
92246110655
10883321088
11413680231
122079a5228
13111006b00
1485458036
1552834b78
hex34a66900

883321088 has 108 divisors (see below), whose sum is σ = 2023247268. Its totient is φ = 383385600.

The previous prime is 883321073. The next prime is 883321151. The reversal of 883321088 is 880123388.

It can be written as a sum of positive squares in 6 ways, for example, as 294191104 + 589129984 = 17152^2 + 24272^2 .

It is a super-2 number, since 2×8833210882 = 1560512289011007488, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 734888 + ... + 736088.

It is an arithmetic number, because the mean of its divisors is an integer number (18733771).

Almost surely, 2883321088 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 883321088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011623634).

883321088 is an abundant number, since it is smaller than the sum of its proper divisors (1139926180).

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

883321088 is a wasteful number, since it uses less digits than its factorization.

883321088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The square root of 883321088 is about 29720.7181609059. The cubic root of 883321088 is about 959.4879676882.

The spelling of 883321088 in words is "eight hundred eighty-three million, three hundred twenty-one thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 169 208 221 256 272 338 416 442 544 676 832 884 1088 1201 1352 1664 1768 2176 2402 2704 2873 3328 3536 4352 4804 5408 5746 7072 9608 10816 11492 14144 15613 19216 20417 21632 22984 28288 31226 38432 40834 43264 45968 56576 62452 76864 81668 91936 124904 153728 163336 183872 202969 249808 265421 307456 326672 367744 405938 499616 530842 653344 735488 811876 999232 1061684 1306688 1623752 1998464 2123368 2613376 3247504 3450473 3996928 4246736 5226752 6495008 6900946 8493472 12990016 13801892 16986944 25980032 27603784 33973888 51960064 55207568 67947776 110415136 220830272 441660544 883321088