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4960325790 = 234571751461
BaseRepresentation
bin1001001111010100…
…01001000010011110
3110210200201122210000
410213222021002132
540124320411130
62140112555130
7233631034140
oct44752110236
913720648700
104960325790
112115a7a202
12b65252aa6
1361087a424
14350ad4c90
151e071b260
hex127a8909e

4960325790 has 160 divisors (see below), whose sum is σ = 16140129984. Its totient is φ = 1067074560.

The previous prime is 4960325767. The next prime is 4960325819. The reversal of 4960325790 is 975230694.

It is a happy number.

4960325790 is a `hidden beast` number, since 49 + 6 + 0 + 32 + 579 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 70660 + ... + 122120.

Almost surely, 24960325790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4960325790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8070064992).

4960325790 is an abundant number, since it is smaller than the sum of its proper divisors (11179804194).

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

4960325790 is a wasteful number, since it uses less digits than its factorization.

4960325790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51504 (or 51495 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 4960325790 is about 70429.5803622313. The cubic root of 4960325790 is about 1705.4411347839.

The spelling of 4960325790 in words is "four billion, nine hundred sixty million, three hundred twenty-five thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 27 30 34 35 42 45 51 54 63 70 81 85 90 102 105 119 126 135 153 162 170 189 210 238 255 270 306 315 357 378 405 459 510 567 595 630 714 765 810 918 945 1071 1134 1190 1377 1530 1785 1890 2142 2295 2754 2835 3213 3570 4590 5355 5670 6426 6885 9639 10710 13770 16065 19278 32130 48195 51461 96390 102922 154383 257305 308766 360227 463149 514610 720454 771915 874837 926298 1080681 1389447 1543830 1749674 1801135 2161362 2315745 2624511 2778894 3242043 3602270 4168341 4374185 4631490 5249022 5403405 6123859 6484086 6947235 7873533 8336682 8748370 9726129 10806810 12247718 13122555 13894470 15747066 16210215 18371577 19452258 20841705 23620599 26245110 29178387 30619295 32420430 36743154 39367665 41683410 47241198 48630645 55114731 58356774 61238590 70861797 78735330 91857885 97261290 110229462 118102995 141723594 145891935 165344193 183715770 236205990 275573655 291783870 330688386 354308985 496032579 551147310 708617970 826720965 992065158 1653441930 2480162895 4960325790