Search a number
-
+
4534653942 = 234721343943
BaseRepresentation
bin1000011100100100…
…10101001111110110
3102201000202021210000
410032102111033312
533241332411232
62025545212130
7220241631300
oct41622251766
912630667700
104534653942
111a1776a695
12a66791046
1357361abb0
1431036a970
151b818627c
hex10e4953f6

4534653942 has 120 divisors (see below), whose sum is σ = 12729434256. Its totient is φ = 1195925472.

The previous prime is 4534653913. The next prime is 4534653979. The reversal of 4534653942 is 2493564354.

4534653942 is a `hidden beast` number, since 45 + 34 + 6 + 539 + 42 = 666.

It is a super-2 number, since 2×45346539422 = 41126172747392278728, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 81223 + ... + 125165.

Almost surely, 24534653942 is an apocalyptic number.

4534653942 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4534653942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6364717128).

4534653942 is an abundant number, since it is smaller than the sum of its proper divisors (8194780314).

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

4534653942 is a wasteful number, since it uses less digits than its factorization.

4534653942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43984 (or 43968 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The square root of 4534653942 is about 67339.8391889972. The cubic root of 4534653942 is about 1655.1907474793.

The spelling of 4534653942 in words is "four billion, five hundred thirty-four million, six hundred fifty-three thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 81 91 98 117 126 147 162 182 189 234 273 294 351 378 441 546 567 637 702 819 882 1053 1134 1274 1323 1638 1911 2106 2457 2646 3822 3969 4914 5733 7371 7938 11466 14742 17199 34398 43943 51597 87886 103194 131829 263658 307601 395487 571259 615202 790974 922803 1142518 1186461 1713777 1845606 2153207 2372922 2768409 3427554 3559383 3998813 4306414 5141331 5536818 6459621 7118766 7997626 8305227 10282662 11996439 12919242 15423993 16610454 19378863 23992878 24915681 27991691 30847986 35989317 38757726 46271979 49831362 55983382 58136589 71978634 83975073 92543958 107967951 116273178 167950146 174409767 215935902 251925219 323903853 348819534 503850438 647807706 755775657 1511551314 2267326971 4534653942