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1642444284 = 22313191493719
BaseRepresentation
bin110000111100101…
…1011010111111100
311020110112210222210
41201321123113330
511330431204114
6430551140420
755462355205
oct14171332774
94213483883
101642444284
11773131778
1239a074710
13202377030
141181c25ac
15992d5259
hex61e5b5fc

1642444284 has 96 divisors (see below), whose sum is σ = 4374720000. Its totient is φ = 475428096.

The previous prime is 1642444267. The next prime is 1642444339. The reversal of 1642444284 is 4824442461.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 439777 + ... + 443495.

It is an arithmetic number, because the mean of its divisors is an integer number (45570000).

Almost surely, 21642444284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1642444284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187360000).

1642444284 is an abundant number, since it is smaller than the sum of its proper divisors (2732275716).

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

1642444284 is a wasteful number, since it uses less digits than its factorization.

1642444284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3907 (or 3905 counting only the distinct ones).

The product of its digits is 196608, while the sum is 39.

The square root of 1642444284 is about 40527.0808719306. The cubic root of 1642444284 is about 1179.8592870608.

The spelling of 1642444284 in words is "one billion, six hundred forty-two million, four hundred forty-four thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 149 156 228 247 298 447 494 596 741 894 988 1482 1788 1937 2831 2964 3719 3874 5662 5811 7438 7748 8493 11157 11324 11622 14876 16986 22314 23244 33972 36803 44628 48347 70661 73606 96694 110409 141322 145041 147212 193388 211983 220818 282644 290082 423966 441636 554131 580164 847932 918593 1108262 1662393 1837186 2216524 2755779 3324786 3674372 5511558 6649572 7203703 10528489 11023116 14407406 21056978 21611109 28814812 31585467 42113956 43222218 63170934 86444436 126341868 136870357 273740714 410611071 547481428 821222142 1642444284