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1985592642 = 2311375691429
BaseRepresentation
bin111011001011001…
…1011110101000010
312010101020120001020
41312112123311002
513031302431032
6525010050310
7100130154555
oct16626336502
95111216036
101985592642
119298a7160
12474b79996
132584a16b7
1414b9c869c
15b94b8b2c
hex7659bd42

1985592642 has 64 divisors (see below), whose sum is σ = 4460227200. Its totient is φ = 583994880.

The previous prime is 1985592629. The next prime is 1985592647. The reversal of 1985592642 is 2462955891.

It is not an unprimeable number, because it can be changed into a prime (1985592647) 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, 1388784 + ... + 1390212.

It is an arithmetic number, because the mean of its divisors is an integer number (69691050).

Almost surely, 21985592642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1985592642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230113600).

1985592642 is an abundant number, since it is smaller than the sum of its proper divisors (2474634558).

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

1985592642 is a wasteful number, since it uses less digits than its factorization.

1985592642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051.

The product of its digits is 1555200, while the sum is 51.

The square root of 1985592642 is about 44559.9892504475. The cubic root of 1985592642 is about 1256.8884005149. Note that the first 3 decimals are identical.

It can be divided in two parts, 198 and 5592642, that added together give a triangular number (5592840 = T3344).

The spelling of 1985592642 in words is "one billion, nine hundred eighty-five million, five hundred ninety-two thousand, six hundred forty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 569 814 1138 1221 1429 1707 2442 2858 3414 4287 6259 8574 12518 15719 18777 21053 31438 37554 42106 47157 52873 63159 94314 105746 126318 158619 231583 317238 463166 581603 694749 813101 1163206 1389498 1626202 1744809 2439303 3489618 4878606 8944111 17888222 26832333 30084737 53664666 60169474 90254211 180508422 330932107 661864214 992796321 1985592642