Search a number
-
+
1008881412 = 2237111091863
BaseRepresentation
bin111100001000100…
…100111100000100
32121022101111010020
4330020210330010
54031233201122
6244035455140
734000231140
oct7410447404
92538344106
101008881412
1147853a5a0
12241a574b0
13131029866
1497dc0220
155d887c5c
hex3c224f04

1008881412 has 48 divisors (see below), whose sum is σ = 2934930432. Its totient is φ = 262046880.

The previous prime is 1008881369. The next prime is 1008881417. The reversal of 1008881412 is 2141888001.

It is a super-2 number, since 2×10088814122 = 2035683406958227488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1008881417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 545008 + ... + 546855.

It is an arithmetic number, because the mean of its divisors is an integer number (61144384).

Almost surely, 21008881412 is an apocalyptic number.

1008881412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1008881412 is an abundant number, since it is smaller than the sum of its proper divisors (1926049020).

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

1008881412 is a wasteful number, since it uses less digits than its factorization.

1008881412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091888 (or 1091886 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 33.

The square root of 1008881412 is about 31762.8936339245. The cubic root of 1008881412 is about 1002.9517492702.

The spelling of 1008881412 in words is "one billion, eight million, eight hundred eighty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 1091863 2183726 3275589 4367452 6551178 7643041 12010493 13102356 15286082 22929123 24020986 30572164 36031479 45858246 48041972 72062958 84073451 91716492 144125916 168146902 252220353 336293804 504440706 1008881412