Search a number
-
+
945489636 = 22327132571123
BaseRepresentation
bin111000010110110…
…000011011100100
32102220002211221200
4320112300123210
53414021132021
6233453042500
732300346360
oct7026603344
92386084850
10945489636
114457823a3
12224786430
13120b62b30
148d7dc2a0
1558015126
hex385b06e4

945489636 has 144 divisors (see below), whose sum is σ = 2955598464. Its totient is φ = 248168448.

The previous prime is 945489607. The next prime is 945489637. The reversal of 945489636 is 636984549.

945489636 is a `hidden beast` number, since 9 + 4 + 548 + 96 + 3 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (945489637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 841371 + ... + 842493.

Almost surely, 2945489636 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 945489636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477799232).

945489636 is an abundant number, since it is smaller than the sum of its proper divisors (2010108828).

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

945489636 is a wasteful number, since it uses less digits than its factorization.

945489636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1405 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 945489636 is about 30748.8151966868. The cubic root of 945489636 is about 981.4893486422.

The spelling of 945489636 in words is "nine hundred forty-five million, four hundred eighty-nine thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 257 273 364 468 514 546 771 819 1028 1092 1123 1542 1638 1799 2246 2313 3084 3276 3341 3369 3598 4492 4626 5397 6682 6738 7196 7861 9252 10023 10107 10794 13364 13476 14599 15722 16191 20046 20214 21588 23387 23583 29198 30069 31444 32382 40092 40428 43797 46774 47166 58396 60138 64764 70161 70749 87594 93548 94332 102193 120276 131391 140322 141498 175188 204386 210483 262782 280644 282996 288611 306579 408772 420966 525564 577222 613158 841932 865833 919737 1154444 1226316 1731666 1839474 2020277 2597499 3463332 3678948 3751943 4040554 5194998 6060831 7503886 8081108 10389996 11255829 12121662 15007772 18182493 22511658 24243324 26263601 33767487 36364986 45023316 52527202 67534974 72729972 78790803 105054404 135069948 157581606 236372409 315163212 472744818 945489636