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981067808 = 25741132
BaseRepresentation
bin111010011110011…
…110100000100000
32112101001102000202
4322132132200200
54002123132213
6241203404332
733211640000
oct7236364040
92471042022
10981067808
11463872846
122346836a8
1312833bac6
1494420000
155b1e1b58
hex3a79e820

981067808 has 90 divisors (see below), whose sum is σ = 2273372829. Its totient is φ = 416736768.

The previous prime is 981067771. The next prime is 981067817. The reversal of 981067808 is 808760189.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 619611664 + 361456144 = 24892^2 + 19012^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=22148.

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8681960 + ... + 8682072.

Almost surely, 2981067808 is an apocalyptic number.

981067808 is a gapful number since it is divisible by the number (98) 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 981067808

981067808 is an abundant number, since it is smaller than the sum of its proper divisors (1292305021).

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

981067808 is an frugal number, since it uses more digits than its factorization.

981067808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 47.

The square root of 981067808 is about 31322.0019794393. The cubic root of 981067808 is about 993.6490197723.

The spelling of 981067808 in words is "nine hundred eighty-one million, sixty-seven thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 113 196 224 226 343 392 452 686 784 791 904 1372 1568 1582 1808 2401 2744 3164 3616 4802 5488 5537 6328 9604 10976 11074 12656 12769 19208 22148 25312 25538 38416 38759 44296 51076 76832 77518 88592 89383 102152 155036 177184 178766 204304 271313 310072 357532 408608 542626 620144 625681 715064 1085252 1240288 1251362 1430128 2170504 2502724 2860256 4341008 4379767 5005448 8682016 8759534 10010896 17519068 20021792 30658369 35038136 61316738 70076272 122633476 140152544 245266952 490533904 981067808