Search a number
-
+
4645361040 = 243597383521
BaseRepresentation
bin1000101001110001…
…01001010110010000
3102222202001210100220
410110320221112100
534003203023130
62044542113040
7223054626435
oct42470512620
912882053326
104645361040
111a74204561
12a9787b780
13590540058
14320d47b8c
151c2c53410
hex114e29590

4645361040 has 160 divisors (see below), whose sum is σ = 14615064576. Its totient is φ = 1220444160.

The previous prime is 4645361029. The next prime is 4645361041. The reversal of 4645361040 is 401635464.

It is a junction number, because it is equal to n+sod(n) for n = 4645360992 and 4645361010.

It is not an unprimeable number, because it can be changed into a prime (4645361041) 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 31 ways as a sum of consecutive naturals, for example, 8915980 + ... + 8916500.

Almost surely, 24645361040 is an apocalyptic number.

4645361040 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 4645361040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7307532288).

4645361040 is an abundant number, since it is smaller than the sum of its proper divisors (9969703536).

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

4645361040 is a wasteful number, since it uses less digits than its factorization.

4645361040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 4645361040 is about 68156.8854922230. The cubic root of 4645361040 is about 1668.5523017348.

The spelling of 4645361040 in words is "four billion, six hundred forty-five million, three hundred sixty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 194 240 291 383 388 485 521 582 766 776 970 1042 1149 1164 1455 1532 1552 1563 1915 1940 2084 2298 2328 2605 2910 3064 3126 3830 3880 4168 4596 4656 5210 5745 5820 6128 6252 7660 7760 7815 8336 9192 10420 11490 11640 12504 15320 15630 18384 20840 22980 23280 25008 30640 31260 37151 41680 45960 50537 62520 74302 91920 101074 111453 125040 148604 151611 185755 199543 202148 222906 252685 297208 303222 371510 399086 404296 445812 505370 557265 594416 598629 606444 743020 758055 798172 808592 891624 997715 1010740 1114530 1197258 1212888 1486040 1516110 1596344 1783248 1995430 2021480 2229060 2394516 2425776 2972080 2993145 3032220 3192688 3990860 4042960 4458120 4789032 5986290 6064440 7981720 8916240 9578064 11972580 12128880 15963440 19355671 23945160 38711342 47890320 58067013 77422684 96778355 116134026 154845368 193556710 232268052 290335065 309690736 387113420 464536104 580670130 774226840 929072208 1161340260 1548453680 2322680520 4645361040