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286928980 = 225135931861
BaseRepresentation
bin10001000110100…
…011000001010100
3201222220111120021
4101012203001110
51041423211410
644245514524
710052566432
oct2106430124
9658814507
10286928980
11137a66a98
1280112a44
13475a2480
142a16dd52
151a2caeda
hex111a3054

286928980 has 48 divisors (see below), whose sum is σ = 650344464. Its totient is φ = 105707520.

The previous prime is 286928927. The next prime is 286929017. The reversal of 286928980 is 89829682.

It can be written as a sum of positive squares in 8 ways, for example, as 87385104 + 199543876 = 9348^2 + 14126^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153250 + ... + 155110.

It is an arithmetic number, because the mean of its divisors is an integer number (13548843).

Almost surely, 2286928980 is an apocalyptic number.

286928980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

286928980 is an abundant number, since it is smaller than the sum of its proper divisors (363415484).

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

286928980 is a wasteful number, since it uses less digits than its factorization.

286928980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2476 (or 2474 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 52.

The square root of 286928980 is about 16938.9781273842. The cubic root of 286928980 is about 659.5658148291.

The spelling of 286928980 in words is "two hundred eighty-six million, nine hundred twenty-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 593 1186 1861 2372 2965 3722 5930 7444 7709 9305 11860 15418 18610 24193 30836 37220 38545 48386 77090 96772 120965 154180 241930 483860 1103573 2207146 4414292 5517865 11035730 14346449 22071460 28692898 57385796 71732245 143464490 286928980