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2088401244 = 22317292231583
BaseRepresentation
bin111110001111010…
…0111100101011100
312101112200202221020
41330132213211130
513234112314434
6543121404140
7102516055236
oct17436474534
95345622836
102088401244
11981936846
124a3499650
132738896a7
1415b50b256
15c3525849
hex7c7a795c

2088401244 has 96 divisors (see below), whose sum is σ = 5364817920. Its totient is φ = 629357568.

The previous prime is 2088401213. The next prime is 2088401257. The reversal of 2088401244 is 4421048802.

It is a super-3 number, since 3×20884012443 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1318477 + ... + 1320059.

It is an arithmetic number, because the mean of its divisors is an integer number (55883520).

Almost surely, 22088401244 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 2088401244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682408960).

2088401244 is an abundant number, since it is smaller than the sum of its proper divisors (3276416676).

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

2088401244 is a wasteful number, since it uses less digits than its factorization.

2088401244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 2088401244 is about 45699.0289174726. The cubic root of 2088401244 is about 1278.2171721032.

The spelling of 2088401244 in words is "two billion, eighty-eight million, four hundred one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 68 87 102 116 174 204 223 348 446 493 669 892 986 1338 1479 1583 1972 2676 2958 3166 3791 4749 5916 6332 6467 7582 9498 11373 12934 15164 18996 19401 22746 25868 26911 38802 45492 45907 53822 77604 80733 91814 107644 109939 137721 161466 183628 219878 275442 322932 329817 353009 439756 550884 659634 706018 780419 1059027 1319268 1412036 1560838 2118054 2341257 3121676 4236108 4682514 6001153 9365028 10237261 12002306 18003459 20474522 24004612 30711783 36006918 40949044 61423566 72013836 122847132 174033437 348066874 522100311 696133748 1044200622 2088401244