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2042405415 = 33517889937
BaseRepresentation
bin111100110111100…
…1010001000100111
312021100010221112000
41321233022020213
513140323433130
6534355500343
7101420105511
oct17157121047
95240127460
102042405415
11958980466
1248bbb76b3
132671a3a1b
14155376bb1
15be48c260
hex79bca227

2042405415 has 32 divisors (see below), whose sum is σ = 3844532160. Its totient is φ = 1025206272.

The previous prime is 2042405377. The next prime is 2042405423. The reversal of 2042405415 is 5145042402.

2042405415 is a `hidden beast` number, since 2 + 0 + 4 + 240 + 5 + 415 = 666.

It is not a de Polignac number, because 2042405415 - 210 = 2042404391 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 442674 + ... + 447263.

It is an arithmetic number, because the mean of its divisors is an integer number (120141630).

Almost surely, 22042405415 is an apocalyptic number.

2042405415 is a deficient number, since it is larger than the sum of its proper divisors (1802126745).

2042405415 is a wasteful number, since it uses less digits than its factorization.

2042405415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889968 (or 889962 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 2042405415 is about 45192.9797092425. The cubic root of 2042405415 is about 1268.7634263262.

Adding to 2042405415 its reverse (5145042402), we get a palindrome (7187447817).

The spelling of 2042405415 in words is "two billion, forty-two million, four hundred five thousand, four hundred fifteen".

Divisors: 1 3 5 9 15 17 27 45 51 85 135 153 255 459 765 2295 889937 2669811 4449685 8009433 13349055 15128929 24028299 40047165 45386787 75644645 120141495 136160361 226933935 408481083 680801805 2042405415