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42287960232 = 23327154954167
BaseRepresentation
bin100111011000100011…
…110001000010101000
311001011010020221220100
4213120203301002220
51143101204211412
631232105425400
73024635505540
oct473043610250
9131133227810
1042287960232
1116a304a6471
12824219b260
133cac0a059b
1420923c4320
1511777caedc
hex9d88f10a8

42287960232 has 96 divisors (see below), whose sum is σ = 130978224000. Its totient is φ = 12074251392.

The previous prime is 42287960213. The next prime is 42287960243. The reversal of 42287960232 is 23206978224.

42287960232 is a `hidden beast` number, since 4 + 2 + 2 + 8 + 7 + 9 + 602 + 32 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 753613 + ... + 807779.

It is an arithmetic number, because the mean of its divisors is an integer number (1364356500).

Almost surely, 242287960232 is an apocalyptic number.

42287960232 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42287960232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65489112000).

42287960232 is an abundant number, since it is smaller than the sum of its proper divisors (88690263768).

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

42287960232 is a wasteful number, since it uses less digits than its factorization.

42287960232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55735 (or 55728 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 42287960232 in words is "forty-two billion, two hundred eighty-seven million, nine hundred sixty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1549 3098 4647 6196 9294 10843 12392 13941 18588 21686 27882 32529 37176 43372 54167 55764 65058 86744 97587 108334 111528 130116 162501 195174 216668 260232 325002 379169 390348 433336 487503 650004 758338 780696 975006 1137507 1300008 1516676 1950012 2275014 3033352 3412521 3900024 4550028 6825042 9100056 13650084 27300168 83904683 167809366 251714049 335618732 503428098 587332781 671237464 755142147 1006856196 1174665562 1510284294 1761998343 2013712392 2349331124 3020568588 3523996686 4698662248 5285995029 6041137176 7047993372 10571990058 14095986744 21143980116 42287960232