Search a number
-
+
995633352 = 233272436563
BaseRepresentation
bin111011010110000…
…010100011001000
32120101110102012100
4323112002203020
54014340231402
6242443513400
733446513100
oct7326024310
92511412170
10995633352
1147101108a
12239528860
1312b36b77c
1496332200
155c61c71c
hex3b5828c8

995633352 has 144 divisors (see below), whose sum is σ = 3210189840. Its totient is φ = 277808832.

The previous prime is 995633321. The next prime is 995633369. The reversal of 995633352 is 253336599.

995633352 is a `hidden beast` number, since 9 + 9 + 5 + 633 + 3 + 5 + 2 = 666.

It is a super-2 number, since 2×9956333522 = 1982571543229511808, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 995633298 and 995633307.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 148423 + ... + 154985.

It is an arithmetic number, because the mean of its divisors is an integer number (22292985).

Almost surely, 2995633352 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 995633352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605094920).

995633352 is an abundant number, since it is smaller than the sum of its proper divisors (2214556488).

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

995633352 is a wasteful number, since it uses less digits than its factorization.

995633352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6632 (or 6618 counting only the distinct ones).

The product of its digits is 656100, while the sum is 45.

The square root of 995633352 is about 31553.6582982069. The cubic root of 995633352 is about 998.5423268882.

The spelling of 995633352 in words is "nine hundred ninety-five million, six hundred thirty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 43 49 56 63 72 84 86 98 126 129 147 168 172 196 252 258 294 301 344 387 392 441 504 516 588 602 774 882 903 1032 1176 1204 1548 1764 1806 2107 2408 2709 3096 3528 3612 4214 5418 6321 6563 7224 8428 10836 12642 13126 16856 18963 19689 21672 25284 26252 37926 39378 45941 50568 52504 59067 75852 78756 91882 118134 137823 151704 157512 183764 236268 275646 282209 321587 367528 413469 472536 551292 564418 643174 826938 846627 964761 1102584 1128836 1286348 1653876 1693254 1929522 1975463 2257672 2539881 2572696 2894283 3307752 3386508 3859044 3950926 5079762 5788566 5926389 6773016 7718088 7901852 10159524 11577132 11852778 13828241 15803704 17779167 20319048 23154264 23705556 27656482 35558334 41484723 47411112 55312964 71116668 82969446 110625928 124454169 142233336 165938892 248908338 331877784 497816676 995633352