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4991579320 = 2357134331891
BaseRepresentation
bin1001010011000010…
…10111010010111000
3110212212112111120011
410221201113102320
540210321014240
62143150511304
7234460503250
oct45141272270
913785474504
104991579320
112131686472
12b73805534
136171a0b40
14354d0c960
151e33416ea
hex1298574b8

4991579320 has 128 divisors (see below), whose sum is σ = 14144739840. Its totient is φ = 1542965760.

The previous prime is 4991579311. The next prime is 4991579323. The reversal of 4991579320 is 239751994.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4991579323) 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, 140575 + ... + 172465.

It is an arithmetic number, because the mean of its divisors is an integer number (110505780).

Almost surely, 24991579320 is an apocalyptic number.

4991579320 is a gapful number since it is divisible by the number (40) 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 4991579320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7072369920).

4991579320 is an abundant number, since it is smaller than the sum of its proper divisors (9153160520).

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

4991579320 is a wasteful number, since it uses less digits than its factorization.

4991579320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31965 (or 31961 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 49.

The square root of 4991579320 is about 70651.1098285087. The cubic root of 4991579320 is about 1709.0154632629.

The spelling of 4991579320 in words is "four billion, nine hundred ninety-one million, five hundred seventy-nine thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 43 52 56 65 70 86 91 104 130 140 172 182 215 260 280 301 344 364 430 455 520 559 602 728 860 910 1118 1204 1505 1720 1820 2236 2408 2795 3010 3640 3913 4472 5590 6020 7826 11180 12040 15652 19565 22360 31304 31891 39130 63782 78260 127564 156520 159455 223237 255128 318910 414583 446474 637820 829166 892948 1116185 1275640 1371313 1658332 1785896 2072915 2232370 2742626 2902081 3316664 4145830 4464740 5485252 5804162 6856565 8291660 8929480 9599191 10970504 11608324 13713130 14510405 16583320 17827069 19198382 23216648 27426260 29020810 35654138 38396764 47995955 54852520 58041620 71308276 76793528 89135345 95991910 116083240 124789483 142616552 178270690 191983820 249578966 356541380 383967640 499157932 623947415 713082760 998315864 1247894830 2495789660 4991579320