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990777792 = 26341432927
BaseRepresentation
bin111011000011100…
…001000111000000
32120001022201121210
4323003201013000
54012114342132
6242151450120
733360320664
oct7303410700
92501281553
10990777792
114692a5024
12237986940
1312a35b664
149582a8a4
155beadbcc
hex3b0e11c0

990777792 has 112 divisors (see below), whose sum is σ = 2748759552. Its totient is φ = 314603520.

The previous prime is 990777791. The next prime is 990777793. The reversal of 990777792 is 297777099.

It is an interprime number because it is at equal distance from previous prime (990777791) and next prime (990777793).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990777791) 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, 337033 + ... + 339959.

It is an arithmetic number, because the mean of its divisors is an integer number (24542496).

Almost surely, 2990777792 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 990777792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374379776).

990777792 is an abundant number, since it is smaller than the sum of its proper divisors (1757981760).

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

990777792 is a wasteful number, since it uses less digits than its factorization.

990777792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3026 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 3500658, while the sum is 57.

The square root of 990777792 is about 31476.6229446553. The cubic root of 990777792 is about 996.9164320486.

The spelling of 990777792 in words is "nine hundred ninety million, seven hundred seventy-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 43 48 64 82 86 96 123 129 164 172 192 246 258 328 344 492 516 656 688 984 1032 1312 1376 1763 1968 2064 2624 2752 2927 3526 3936 4128 5289 5854 7052 7872 8256 8781 10578 11708 14104 17562 21156 23416 28208 35124 42312 46832 56416 70248 84624 93664 112832 120007 125861 140496 169248 187328 240014 251722 280992 338496 360021 377583 480028 503444 561984 720042 755166 960056 1006888 1440084 1510332 1920112 2013776 2880168 3020664 3840224 4027552 5160301 5760336 6041328 7680448 8055104 10320602 11520672 12082656 15480903 20641204 23041344 24165312 30961806 41282408 61923612 82564816 123847224 165129632 247694448 330259264 495388896 990777792