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1028590542 = 233717592713
BaseRepresentation
bin111101010011110…
…000101111001110
32122200110210222000
4331103300233032
54101304344132
6250022133130
734326606150
oct7523605716
92580423860
101028590542
11488681331
122485811a6
1313513a775
149a870ad0
156047c87c
hex3d4f0bce

1028590542 has 128 divisors (see below), whose sum is σ = 2813875200. Its totient is φ = 271807488.

The previous prime is 1028590529. The next prime is 1028590543. The reversal of 1028590542 is 2450958201.

1028590542 is a `hidden beast` number, since 1 + 0 + 28 + 5 + 90 + 542 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1028590497 and 1028590506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028590543) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 377778 + ... + 380490.

It is an arithmetic number, because the mean of its divisors is an integer number (21983400).

Almost surely, 21028590542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028590542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406937600).

1028590542 is an abundant number, since it is smaller than the sum of its proper divisors (1785284658).

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

1028590542 is a wasteful number, since it uses less digits than its factorization.

1028590542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2807 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1028590542 is about 32071.6470110283. The cubic root of 1028590542 is about 1009.4407720109.

The spelling of 1028590542 in words is "one billion, twenty-eight million, five hundred ninety thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 59 63 102 118 119 126 153 177 189 238 306 354 357 378 413 459 531 714 826 918 1003 1062 1071 1239 1593 2006 2142 2478 2713 3009 3186 3213 3717 5426 6018 6426 7021 7434 8139 9027 11151 14042 16278 18054 18991 21063 22302 24417 27081 37982 42126 46121 48834 54162 56973 63189 73251 92242 113946 126378 138363 146502 160067 170919 189567 276726 320134 322847 341838 379134 415089 480201 512757 645694 830178 960402 968541 1025514 1120469 1245267 1440603 1937082 2240938 2490534 2721139 2881206 2905623 3361407 4321809 5442278 5811246 6722814 8163417 8643618 8716869 10084221 16326834 17433738 19047973 20168442 24490251 30252663 38095946 48980502 57143919 60505326 73470753 114287838 146941506 171431757 342863514 514295271 1028590542