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2412003042 = 233434572273
BaseRepresentation
bin1000111111000100…
…0011111011100010
320020002121110011000
42033301003323202
514414433044132
61035201332430
7113525454561
oct21761037342
96202543130
102412003042
111028570649
12573937116
132c592c147
1418c4a5bd8
15e1b4787c
hex8fc43ee2

2412003042 has 64 divisors (see below), whose sum is σ = 5499077760. Its totient is φ = 783240192.

The previous prime is 2412003037. The next prime is 2412003049. The reversal of 2412003042 is 2403002142.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2412003049) by changing a digit.

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, 1060018 + ... + 1062290.

It is an arithmetic number, because the mean of its divisors is an integer number (85923090).

Almost surely, 22412003042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2412003042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749538880).

2412003042 is an abundant number, since it is smaller than the sum of its proper divisors (3087074718).

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

2412003042 is a wasteful number, since it uses less digits than its factorization.

2412003042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2412003042 is about 49112.1476011791. The cubic root of 2412003042 is about 1341.0941983486.

Adding to 2412003042 its reverse (2403002142), we get a palindrome (4815005184).

The spelling of 2412003042 in words is "two billion, four hundred twelve million, three thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 387 457 774 914 1161 1371 2273 2322 2742 4113 4546 6819 8226 12339 13638 19651 20457 24678 39302 40914 58953 61371 97739 117906 122742 176859 195478 293217 353718 530577 586434 879651 1038761 1061154 1759302 2077522 2638953 3116283 5277906 6232566 9348849 18697698 28046547 44666723 56093094 89333446 134000169 268000338 402000507 804001014 1206001521 2412003042