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2042000305 = 517247107281
BaseRepresentation
bin111100110110110…
…0111001110110001
312021022101100210221
41321231213032301
513140223002210
6534343053041
7101413500442
oct17155471661
95238340727
102042000305
11958724064
1248ba41181
13267091507
141552ad2c9
15be40c1da
hex79b673b1

2042000305 has 48 divisors (see below), whose sum is σ = 2692797696. Its totient is φ = 1485424640.

The previous prime is 2042000299. The next prime is 2042000333. The reversal of 2042000305 is 5030002402.

It is a de Polignac number, because none of the positive numbers 2k-2042000305 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 7266765 + ... + 7267045.

It is an arithmetic number, because the mean of its divisors is an integer number (56099952).

Almost surely, 22042000305 is an apocalyptic number.

It is an amenable number.

2042000305 is a deficient number, since it is larger than the sum of its proper divisors (650797391).

2042000305 is a wasteful number, since it uses less digits than its factorization.

2042000305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 2042000305 is about 45188.4974855328. The cubic root of 2042000305 is about 1268.6795346015.

Adding to 2042000305 its reverse (5030002402), we get a palindrome (7072002707).

The spelling of 2042000305 in words is "two billion, forty-two million, three hundred five", and thus it is an aban number.

Divisors: 1 5 17 47 85 107 235 281 289 535 799 1405 1445 1819 3995 4777 5029 9095 13207 13583 23885 25145 30067 30923 66035 67915 81209 85493 150335 154615 224519 406045 427465 511139 1122595 1413149 1453381 2555695 3816823 7065745 7266905 8689363 19084115 24023533 43446815 120117665 408400061 2042000305