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2090799144 = 2332715726423
BaseRepresentation
bin111110010011111…
…0001000000101000
312101201012121020100
41330213301000220
513240221033034
6543245025400
7102545333220
oct17447610050
95351177210
102090799144
11983224385
124a4255260
13274218c75
1415b973080
15c384b099
hex7c9f1028

2090799144 has 96 divisors (see below), whose sum is σ = 6512987520. Its totient is φ = 593543808.

The previous prime is 2090799143. The next prime is 2090799149. The reversal of 2090799144 is 4419970902.

It is a happy number.

It is a super-2 number, since 2×20907991442 = 8742882121102265472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2090799144.

It is not an unprimeable number, because it can be changed into a prime (2090799143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65917 + ... + 92339.

It is an arithmetic number, because the mean of its divisors is an integer number (67843620).

Almost surely, 22090799144 is an apocalyptic number.

2090799144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2090799144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3256493760).

2090799144 is an abundant number, since it is smaller than the sum of its proper divisors (4422188376).

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

2090799144 is a wasteful number, since it uses less digits than its factorization.

2090799144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26599 (or 26592 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 2090799144 is about 45725.2571780630. The cubic root of 2090799144 is about 1278.7062008315.

The spelling of 2090799144 in words is "two billion, ninety million, seven hundred ninety-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 157 168 252 314 471 504 628 942 1099 1256 1413 1884 2198 2826 3297 3768 4396 5652 6594 8792 9891 11304 13188 19782 26376 26423 39564 52846 79128 79269 105692 158538 184961 211384 237807 317076 369922 475614 554883 634152 739844 951228 1109766 1479688 1664649 1902456 2219532 3329298 4148411 4439064 6658596 8296822 12445233 13317192 16593644 24890466 29038877 33187288 37335699 49780932 58077754 74671398 87116631 99561864 116155508 149342796 174233262 232311016 261349893 298685592 348466524 522699786 696933048 1045399572 2090799144