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842054490 = 232559347457
BaseRepresentation
bin110010001100001…
…011101101011010
32011200110210121100
4302030023231122
53211031220430
6215320052230
726603226234
oct6214135532
92150423540
10842054490
113a2355002
121b6004076
131055b88c4
147db95254
154ddd2960
hex3230bb5a

842054490 has 96 divisors (see below), whose sum is σ = 2237751360. Its totient is φ = 219624192.

The previous prime is 842054441. The next prime is 842054537. The reversal of 842054490 is 94450248.

842054490 is a `hidden beast` number, since 8 + 4 + 20 + 544 + 90 = 666.

842054490 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1842342 + ... + 1842798.

It is an arithmetic number, because the mean of its divisors is an integer number (23309910).

Almost surely, 2842054490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842054490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118875680).

842054490 is an abundant number, since it is smaller than the sum of its proper divisors (1395696870).

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

842054490 is a wasteful number, since it uses less digits than its factorization.

842054490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 842054490 is about 29018.1751666089. The cubic root of 842054490 is about 944.3074122395.

The spelling of 842054490 in words is "eight hundred forty-two million, fifty-four thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 90 118 177 295 347 354 457 531 590 694 885 914 1041 1062 1371 1735 1770 2082 2285 2655 2742 3123 3470 4113 4570 5205 5310 6246 6855 8226 10410 13710 15615 20473 20565 26963 31230 40946 41130 53926 61419 80889 102365 122838 134815 158579 161778 184257 204730 242667 269630 307095 317158 368514 404445 475737 485334 614190 792895 808890 921285 951474 1213335 1427211 1585790 1842570 2378685 2426670 2854422 4757370 7136055 9356161 14272110 18712322 28068483 46780805 56136966 84205449 93561610 140342415 168410898 280684830 421027245 842054490