Search a number
-
+
881483408 = 241315726993
BaseRepresentation
bin110100100010100…
…101111010010000
32021102122222220122
4310202211322100
53301124432113
6223245125412
730562325321
oct6442457220
92242588818
10881483408
11412635593
12207259868
13110812520
14850da448
15525c0408
hex348a5e90

881483408 has 40 divisors (see below), whose sum is σ = 1851032568. Its totient is φ = 404232192.

The previous prime is 881483399. The next prime is 881483417. The reversal of 881483408 is 804384188.

It is an interprime number because it is at equal distance from previous prime (881483399) and next prime (881483417).

It can be written as a sum of positive squares in 4 ways, for example, as 32809984 + 848673424 = 5728^2 + 29132^2 .

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 7 ways as a sum of consecutive naturals, for example, 19160 + ... + 46152.

Almost surely, 2881483408 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 881483408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925516284).

881483408 is an abundant number, since it is smaller than the sum of its proper divisors (969549160).

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

881483408 is a wasteful number, since it uses less digits than its factorization.

881483408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27171 (or 27165 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 44.

The square root of 881483408 is about 29689.7862572299. The cubic root of 881483408 is about 958.8221259980.

The spelling of 881483408 in words is "eight hundred eighty-one million, four hundred eighty-three thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 26 52 104 157 208 314 628 1256 2041 2512 4082 8164 16328 26993 32656 53986 107972 215944 350909 431888 701818 1403636 2807272 4237901 5614544 8475802 16951604 33903208 55092713 67806416 110185426 220370852 440741704 881483408