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286942944 = 2533196419
BaseRepresentation
bin10001000110100…
…110011011100000
3201222221012201110
4101012212123200
51041424133234
644250103320
710052655231
oct2106463340
9658835643
10286942944
11137a76532
128011ab40
13475a8932
142a175088
151a2d01e9
hex111a66e0

286942944 has 48 divisors (see below), whose sum is σ = 777530880. Its totient is φ = 92561280.

The previous prime is 286942897. The next prime is 286942961. The reversal of 286942944 is 449249682.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2869429442 = 164672506222774272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 286942893 and 286942902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45234 + ... + 51185.

It is an arithmetic number, because the mean of its divisors is an integer number (16198560).

Almost surely, 2286942944 is an apocalyptic number.

286942944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

286942944 is an abundant number, since it is smaller than the sum of its proper divisors (490587936).

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

286942944 is a wasteful number, since it uses less digits than its factorization.

286942944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96463 (or 96455 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 286942944 is about 16939.3903078003. The cubic root of 286942944 is about 659.5765143730.

The spelling of 286942944 in words is "two hundred eighty-six million, nine hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 96419 192838 289257 385676 578514 771352 1157028 1542704 2314056 2988989 3085408 4628112 5977978 8966967 9256224 11955956 17933934 23911912 35867868 47823824 71735736 95647648 143471472 286942944