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842021568 = 2634592753
BaseRepresentation
bin110010001100000…
…011101011000000
32011200102010110000
4302030003223000
53211024142233
6215315240000
726603031243
oct6214035300
92150363400
10842021568
113a23322a3
121b5ba9000
131055a691b
147db8725a
154ddc7d13
hex32303ac0

842021568 has 140 divisors (see below), whose sum is σ = 2539243080. Its totient is φ = 275816448.

The previous prime is 842021527. The next prime is 842021569. The reversal of 842021568 is 865120248.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (842021569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 304480 + ... + 307232.

Almost surely, 2842021568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842021568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269621540).

842021568 is an abundant number, since it is smaller than the sum of its proper divisors (1697221512).

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

842021568 is a wasteful number, since it uses less digits than its factorization.

842021568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836 (or 2817 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 842021568 is about 29017.6078958966. The cubic root of 842021568 is about 944.2951054771.

The spelling of 842021568 in words is "eight hundred forty-two million, twenty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 64 72 81 96 108 118 144 162 177 192 216 236 288 324 354 432 472 531 576 648 708 864 944 1062 1296 1416 1593 1728 1888 2124 2592 2753 2832 3186 3776 4248 4779 5184 5506 5664 6372 8259 8496 9558 11012 11328 12744 16518 16992 19116 22024 24777 25488 33036 33984 38232 44048 49554 50976 66072 74331 76464 88096 99108 101952 132144 148662 152928 162427 176192 198216 222993 264288 297324 305856 324854 396432 445986 487281 528576 594648 649708 792864 891972 974562 1189296 1299416 1461843 1585728 1783944 1949124 2378592 2598832 2923686 3567888 3898248 4385529 4757184 5197664 5847372 7135776 7796496 8771058 10395328 11694744 13156587 14271552 15592992 17542116 23389488 26313174 31185984 35084232 46778976 52626348 70168464 93557952 105252696 140336928 210505392 280673856 421010784 842021568