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2045254302 = 2327136611889
BaseRepresentation
bin111100111101000…
…0001101010011110
312021112111200110100
41321322001222132
513142041114202
6534540521530
7101453242350
oct17172015236
95245450410
102045254302
1195a546913
12490b502a6
13267960660
141558b90d0
15be85141c
hex79e81a9e

2045254302 has 96 divisors (see below), whose sum is σ = 5465154240. Its totient is φ = 538306560.

The previous prime is 2045254249. The next prime is 2045254327. The reversal of 2045254302 is 2034525402.

It is a happy number.

2045254302 is a `hidden beast` number, since 204 + 5 + 25 + 430 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1081774 + ... + 1083662.

It is an arithmetic number, because the mean of its divisors is an integer number (56928690).

Almost surely, 22045254302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2045254302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2732577120).

2045254302 is an abundant number, since it is smaller than the sum of its proper divisors (3419899938).

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

2045254302 is a wasteful number, since it uses less digits than its factorization.

2045254302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578 (or 2575 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 2045254302 is about 45224.4878577967. The cubic root of 2045254302 is about 1269.3530716357.

Adding to 2045254302 its reverse (2034525402), we get a palindrome (4079779704).

The spelling of 2045254302 in words is "two billion, forty-five million, two hundred fifty-four thousand, three hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 661 819 1322 1638 1889 1983 3778 3966 4627 5667 5949 8593 9254 11334 11898 13223 13881 17001 17186 24557 25779 26446 27762 34002 39669 41643 49114 51558 60151 73671 77337 79338 83286 119007 120302 147342 154674 171899 180453 221013 238014 343798 360906 442026 515697 541359 1031394 1082718 1248629 1547091 2497258 3094182 3745887 7491774 8740403 11237661 16232177 17480806 22475322 26221209 32464354 48696531 52442418 78663627 97393062 113625239 146089593 157327254 227250478 292179186 340875717 681751434 1022627151 2045254302