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1076889856 = 28722932
BaseRepresentation
bin100000000110000…
…0000100100000000
32210001100200011111
41000030000210000
54201140433411
6254505253104
735454261400
oct10014004400
92701320144
101076889856
11502970319
12260794194
1314214ba43
14a3044800
156481d721
hex40300900

1076889856 has 81 divisors (see below), whose sum is σ = 2509087161. Its totient is φ = 459949056.

The previous prime is 1076889841. The next prime is 1076889883. The reversal of 1076889856 is 6589886701.

The square root of 1076889856 is 32816.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1018886400 + 58003456 = 31920^2 + 7616^2 .

It is a Smith number, since the sum of its digits (58) 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 1076889856.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3675246 + ... + 3675538.

Almost surely, 21076889856 is an apocalyptic number.

1076889856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1076889856 is the 32816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1076889856

1076889856 is an abundant number, since it is smaller than the sum of its proper divisors (1432197305).

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

1076889856 is an frugal number, since it uses more digits than its factorization.

1076889856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 58.

The cubic root of 1076889856 is about 1024.9997560182. Note that the first 3 decimals are identical.

The spelling of 1076889856 in words is "one billion, seventy-six million, eight hundred eighty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 293 392 448 586 784 896 1172 1568 1792 2051 2344 3136 4102 4688 6272 8204 9376 12544 14357 16408 18752 28714 32816 37504 57428 65632 75008 85849 114856 131264 171698 229712 262528 343396 459424 525056 600943 686792 918848 1201886 1373584 1837696 2403772 2747168 3675392 4206601 4807544 5494336 8413202 9615088 10988672 16826404 19230176 21977344 33652808 38460352 67305616 76920704 134611232 153841408 269222464 538444928 1076889856