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842368464 = 24337278561
BaseRepresentation
bin110010001101011…
…000010111010000
32011201001202022000
4302031120113100
53211121242324
6215330514000
726606004510
oct6215302720
92151052260
10842368464
113a2549993
121b6135900
131056987a2
147dc37840
154de459c9
hex323585d0

842368464 has 80 divisors (see below), whose sum is σ = 2763335040. Its totient is φ = 240675840.

The previous prime is 842368453. The next prime is 842368511. The reversal of 842368464 is 464863248.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 136257 + ... + 142304.

It is an arithmetic number, because the mean of its divisors is an integer number (34541688).

Almost surely, 2842368464 is an apocalyptic number.

842368464 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

842368464 is an abundant number, since it is smaller than the sum of its proper divisors (1920966576).

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

842368464 is a wasteful number, since it uses less digits than its factorization.

842368464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278585 (or 278573 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 842368464 is about 29023.5846166527. The cubic root of 842368464 is about 944.4247645552.

The spelling of 842368464 in words is "eight hundred forty-two million, three hundred sixty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 278561 557122 835683 1114244 1671366 1949927 2228488 2507049 3342732 3899854 4456976 5014098 5849781 6685464 7521147 7799708 10028196 11699562 13370928 15042294 15599416 17549343 20056392 23399124 30084588 31198832 35098686 40112784 46798248 52648029 60169176 70197372 93596496 105296058 120338352 140394744 210592116 280789488 421184232 842368464