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645114942 = 2351923677
BaseRepresentation
bin100110011100111…
…010110000111110
31122221220020100000
4212130322300332
52310122134232
6144003015130
721662246403
oct4634726076
91587806300
10645114942
1130117244a
1216006a4a6
13a3863624
146196c2aa
153b98027c
hex2673ac3e

645114942 has 72 divisors (see below), whose sum is σ = 1530239256. Its totient is φ = 203665104.

The previous prime is 645114941. The next prime is 645114949. The reversal of 645114942 is 249411546.

645114942 is a `hidden beast` number, since 64 + 511 + 49 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 645114897 and 645114906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645114941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 173608 + ... + 177284.

It is an arithmetic number, because the mean of its divisors is an integer number (21253323).

Almost surely, 2645114942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645114942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765119628).

645114942 is an abundant number, since it is smaller than the sum of its proper divisors (885124314).

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

645114942 is a wasteful number, since it uses less digits than its factorization.

645114942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3732 (or 3701 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 645114942 is about 25399.1130160090. The cubic root of 645114942 is about 864.0635803905.

The spelling of 645114942 in words is "six hundred forty-five million, one hundred fourteen thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 361 486 513 722 1026 1083 1539 2166 3078 3249 3677 4617 6498 7354 9234 9747 11031 19494 22062 29241 33093 58482 66186 69863 87723 99279 139726 175446 198558 209589 297837 419178 595674 628767 893511 1257534 1327397 1787022 1886301 2654794 3772602 3982191 5658903 7964382 11317806 11946573 16976709 23893146 33953418 35839719 71679438 107519157 215038314 322557471 645114942