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1990436292 = 22321310973877
BaseRepresentation
bin111011010100011…
…1010010111000100
312010201100122021200
41312220322113010
513034022430132
6525301542500
7100216300155
oct16650722704
95121318250
101990436292
11931605279
12476714a30
132594a9270
1414c4c992c
15b9b23d7c
hex76a3a5c4

1990436292 has 72 divisors (see below), whose sum is σ = 5424748056. Its totient is φ = 611725824.

The previous prime is 1990436281. The next prime is 1990436299. The reversal of 1990436292 is 2926340991.

It is a happy number.

1990436292 is a `hidden beast` number, since 19 + 9 + 0 + 4 + 3 + 629 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3594816 + 1986841476 = 1896^2 + 44574^2 .

It is not an unprimeable number, because it can be changed into a prime (1990436299) 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, 511458 + ... + 515334.

It is an arithmetic number, because the mean of its divisors is an integer number (75343723).

Almost surely, 21990436292 is an apocalyptic number.

1990436292 is a gapful number since it is divisible by the number (12) 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 1990436292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712374028).

1990436292 is an abundant number, since it is smaller than the sum of its proper divisors (3434311764).

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

1990436292 is a wasteful number, since it uses less digits than its factorization.

1990436292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4997 (or 4992 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 1990436292 is about 44614.3059118933. The cubic root of 1990436292 is about 1257.9095874691.

The spelling of 1990436292 in words is "one billion, nine hundred ninety million, four hundred thirty-six thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1097 2194 3291 3877 4388 6582 7754 9873 11631 13164 14261 15508 19746 23262 28522 34893 39492 42783 46524 50401 57044 69786 85566 100802 128349 139572 151203 171132 201604 256698 302406 453609 513396 604812 907218 1814436 4253069 8506138 12759207 17012276 25518414 38277621 51036828 55289897 76555242 110579794 153110484 165869691 221159588 331739382 497609073 663478764 995218146 1990436292