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1642445364 = 2237232713137
BaseRepresentation
bin110000111100101…
…1011101000110100
311020110112212110210
41201321123220310
511330431222424
6430551145420
755462361310
oct14171335064
94213485423
101642445364
1177313256a
1239a075270
13202377681
141181c2b40
15992d5729
hex61e5ba34

1642445364 has 96 divisors (see below), whose sum is σ = 4588609536. Its totient is φ = 447068160.

The previous prime is 1642445359. The next prime is 1642445369. The reversal of 1642445364 is 4635442461.

It is an interprime number because it is at equal distance from previous prime (1642445359) and next prime (1642445369).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1642445369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 522004 + ... + 525140.

It is an arithmetic number, because the mean of its divisors is an integer number (47798016).

Almost surely, 21642445364 is an apocalyptic number.

1642445364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1642445364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294304768).

1642445364 is an abundant number, since it is smaller than the sum of its proper divisors (2946164172).

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

1642445364 is a wasteful number, since it uses less digits than its factorization.

1642445364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3445 (or 3443 counting only the distinct ones).

The product of its digits is 276480, while the sum is 39.

The square root of 1642445364 is about 40527.0941963521. The cubic root of 1642445364 is about 1179.8595456688.

The spelling of 1642445364 in words is "one billion, six hundred forty-two million, four hundred forty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 271 276 322 483 542 644 813 966 1084 1626 1897 1932 3137 3252 3794 5691 6233 6274 7588 9411 11382 12466 12548 18699 18822 21959 22764 24932 37398 37644 43631 43918 65877 72151 74796 87262 87836 130893 131754 144302 174524 216453 261786 263508 288604 432906 505057 523572 850127 865812 1010114 1515171 1700254 2020228 2550381 3030342 3400508 5100762 5950889 6060684 10201524 11901778 17852667 19552921 23803556 35705334 39105842 58658763 71410668 78211684 117317526 136870447 234635052 273740894 410611341 547481788 821222682 1642445364