Search a number
-
+
5645629032 = 233737434337
BaseRepresentation
bin1010100001000000…
…10111011001101000
3112120110020200002120
411100200113121220
543030240112112
62332113231240
7256622024601
oct52040273150
915513220076
105645629032
1124378a071a
121116862520
136bc8421c4
143b7b24da8
15230988e8c
hex150817668

5645629032 has 64 divisors (see below), whose sum is σ = 14329975680. Its totient is φ = 1853171712.

The previous prime is 5645629021. The next prime is 5645629051. The reversal of 5645629032 is 2309265465.

It is a happy number.

It is a super-2 number, since 2×56456290322 = 63746254333922514048, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1299568 + ... + 1303904.

It is an arithmetic number, because the mean of its divisors is an integer number (223905870).

Almost surely, 25645629032 is an apocalyptic number.

It is an amenable number.

5645629032 is an abundant number, since it is smaller than the sum of its proper divisors (8684346648).

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

5645629032 is a wasteful number, since it uses less digits than its factorization.

5645629032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5162 (or 5158 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The square root of 5645629032 is about 75137.4010197318. The cubic root of 5645629032 is about 1780.6180818656.

The spelling of 5645629032 in words is "five billion, six hundred forty-five million, six hundred twenty-nine thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 73 146 219 292 438 584 743 876 1486 1752 2229 2972 4337 4458 5944 8674 8916 13011 17348 17832 26022 34696 52044 54239 104088 108478 162717 216956 316601 325434 433912 633202 650868 949803 1266404 1301736 1899606 2532808 3222391 3799212 6444782 7598424 9667173 12889564 19334346 25779128 38668692 77337384 235234543 470469086 705703629 940938172 1411407258 1881876344 2822814516 5645629032