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864461840 = 24511982343
BaseRepresentation
bin110011100001101…
…010010000010000
32020020122012201012
4303201222100100
53232300234330
6221440230052
730264542624
oct6341522020
92206565635
10864461840
11403a69a80
1220160b328
1310a1329a8
1482b49184
1550d5bc95
hex3386a410

864461840 has 40 divisors (see below), whose sum is σ = 2192591808. Its totient is φ = 314349440.

The previous prime is 864461833. The next prime is 864461869. The reversal of 864461840 is 48164468.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 490292 + ... + 492051.

Almost surely, 2864461840 is an apocalyptic number.

864461840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

864461840 is an abundant number, since it is smaller than the sum of its proper divisors (1328129968).

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

864461840 is a wasteful number, since it uses less digits than its factorization.

864461840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982367 (or 982361 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The square root of 864461840 is about 29401.7319217763. The cubic root of 864461840 is about 952.6103058830.

The spelling of 864461840 in words is "eight hundred sixty-four million, four hundred sixty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 982343 1964686 3929372 4911715 7858744 9823430 10805773 15717488 19646860 21611546 39293720 43223092 54028865 78587440 86446184 108057730 172892368 216115460 432230920 864461840