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4557214242 = 2327173116841
BaseRepresentation
bin1000011111010000…
…11001001000100010
3102202121012110200200
410033220121020202
533313121323432
62032112530030
7220634452620
oct41750311042
912677173620
104557214242
111a29479569
12a72250916
135781b9799
14313360510
151ba140a7c
hex10fa19222

4557214242 has 96 divisors (see below), whose sum is σ = 11988497664. Its totient is φ = 1221350400.

The previous prime is 4557214231. The next prime is 4557214283. The reversal of 4557214242 is 2424127554.

4557214242 is a `hidden beast` number, since 4 + 5 + 572 + 1 + 42 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4557214197 and 4557214206.

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 47 ways as a sum of consecutive naturals, for example, 662742 + ... + 669582.

It is an arithmetic number, because the mean of its divisors is an integer number (124880184).

Almost surely, 24557214242 is an apocalyptic number.

4557214242 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 4557214242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5994248832).

4557214242 is an abundant number, since it is smaller than the sum of its proper divisors (7431283422).

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

4557214242 is a wasteful number, since it uses less digits than its factorization.

4557214242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7184 (or 7181 counting only the distinct ones).

The product of its digits is 89600, while the sum is 36.

The square root of 4557214242 is about 67507.1421554786. The cubic root of 4557214242 is about 1657.9311142182.

The spelling of 4557214242 in words is "four billion, five hundred fifty-seven million, two hundred fourteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 311 357 622 714 933 1071 1866 2142 2177 2799 4354 5287 5598 6531 6841 10574 13062 13682 15861 19593 20523 31722 37009 39186 41046 47583 47887 61569 74018 95166 95774 111027 116297 123138 143661 222054 232594 287322 333081 348891 430983 666162 697782 814079 861966 1046673 1628158 2093346 2127551 2442237 4255102 4884474 6382653 7326711 12765306 14653422 14892857 19147959 29785714 36168367 38295918 44678571 72336734 89357142 108505101 134035713 217010202 253178569 268071426 325515303 506357138 651030606 759535707 1519071414 2278607121 4557214242