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2090887392 = 2531117116471
BaseRepresentation
bin111110010100000…
…0110100011100000
312101201101002021210
41330220012203200
513240231344032
6543250550120
7102546151416
oct17450064340
95351332253
102090887392
11983284710
124a4298340
1327424a199
1415b9972b6
15c38672cc
hex7ca068e0

2090887392 has 96 divisors (see below), whose sum is σ = 6339803904. Its totient is φ = 596326400.

The previous prime is 2090887387. The next prime is 2090887399. The reversal of 2090887392 is 2937880902.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2090887399) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 40284 + ... + 76187.

It is an arithmetic number, because the mean of its divisors is an integer number (66039624).

Almost surely, 22090887392 is an apocalyptic number.

2090887392 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2090887392 is an abundant number, since it is smaller than the sum of its proper divisors (4248916512).

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

2090887392 is a wasteful number, since it uses less digits than its factorization.

2090887392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116512 (or 116504 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 2090887392 is about 45726.2221487846. Note that the first 3 decimals coincide. The cubic root of 2090887392 is about 1278.7241910304.

The spelling of 2090887392 in words is "two billion, ninety million, eight hundred eighty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 176 187 204 264 272 352 374 408 528 544 561 748 816 1056 1122 1496 1632 2244 2992 4488 5984 8976 17952 116471 232942 349413 465884 698826 931768 1281181 1397652 1863536 1980007 2562362 2795304 3727072 3843543 3960014 5124724 5590608 5940021 7687086 7920028 10249448 11181216 11880042 15374172 15840056 20498896 21780077 23760084 30748344 31680112 40997792 43560154 47520168 61496688 63360224 65340231 87120308 95040336 122993376 130680462 174240616 190080672 261360924 348481232 522721848 696962464 1045443696 2090887392