Search a number
-
+
881041408 = 213138273
BaseRepresentation
bin110100100000111…
…010000000000000
32021101211112121021
4310200322000000
53301021311113
6223231435224
730555504562
oct6440720000
92241745537
10881041408
114123634a5
12207085b14
131106b92a0
1485023332
155253448d
hex3483a000

881041408 has 56 divisors (see below), whose sum is σ = 1897741188. Its totient is φ = 406585344.

The previous prime is 881041391. The next prime is 881041409. The reversal of 881041408 is 804140188.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 878055424 + 2985984 = 29632^2 + 1728^2 .

It is a super-2 number, since 2×8810414082 = 1552467925221244928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (881041409) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 102360 + ... + 110632.

Almost surely, 2881041408 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 881041408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948870594).

881041408 is an abundant number, since it is smaller than the sum of its proper divisors (1016699780).

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

881041408 is an equidigital number, since it uses as much as digits as its factorization.

881041408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8312 (or 8288 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 34.

The square root of 881041408 is about 29682.3416865988. The cubic root of 881041408 is about 958.6618392849.

The spelling of 881041408 in words is "eight hundred eighty-one million, forty-one thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 4096 6656 8192 8273 13312 16546 26624 33092 53248 66184 106496 107549 132368 215098 264736 430196 529472 860392 1058944 1720784 2117888 3441568 4235776 6883136 8471552 13766272 16943104 27532544 33886208 55065088 67772416 110130176 220260352 440520704 881041408