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4985408592 = 2432314432521
BaseRepresentation
bin1001010010010011…
…10100110001010000
3110212102220222220200
410221021310301100
540202231033332
62142410335200
7234354162633
oct45111646120
913772828820
104985408592
11212915129a
12b7172a500
13615b20218
14354183c1a
151e2a2317c
hex129274c50

4985408592 has 120 divisors (see below), whose sum is σ = 14440528128. Its totient is φ = 1603929600.

The previous prime is 4985408591. The next prime is 4985408629. The reversal of 4985408592 is 2958045894.

It is a happy number.

4985408592 is a `hidden beast` number, since 4 + 9 + 8 + 5 + 40 + 8 + 592 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4985408591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1976292 + ... + 1978812.

Almost surely, 24985408592 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 4985408592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7220264064).

4985408592 is an abundant number, since it is smaller than the sum of its proper divisors (9455119536).

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

4985408592 is a wasteful number, since it uses less digits than its factorization.

4985408592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The square root of 4985408592 is about 70607.4258984138. The cubic root of 4985408592 is about 1708.3109288473.

The spelling of 4985408592 in words is "four billion, nine hundred eighty-five million, four hundred eight thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 443 496 558 744 886 1116 1329 1488 1772 2232 2521 2658 3544 3987 4464 5042 5316 7088 7563 7974 10084 10632 13733 15126 15948 20168 21264 22689 27466 30252 31896 40336 41199 45378 54932 60504 63792 78151 82398 90756 109864 121008 123597 156302 164796 181512 219728 234453 247194 312604 329592 363024 468906 494388 625208 659184 703359 937812 988776 1116803 1250416 1406718 1875624 1977552 2233606 2813436 3350409 3751248 4467212 5626872 6700818 8934424 10051227 11253744 13401636 17868848 20102454 26803272 34620893 40204908 53606544 69241786 80409816 103862679 138483572 160819632 207725358 276967144 311588037 415450716 553934288 623176074 830901432 1246352148 1661802864 2492704296 4985408592