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86792040 = 2333580363
BaseRepresentation
bin1010010110001…
…01011101101000
320001022111022000
411023011131220
5134204321130
612340131000
72102502006
oct513053550
9201274260
1086792040
1144aa0165
1225096a60
1314c9aa4a
14b753a76
157946260
hex52c5768

86792040 has 64 divisors (see below), whose sum is σ = 289310400. Its totient is φ = 23144256.

The previous prime is 86791997. The next prime is 86792051. The reversal of 86792040 is 4029768.

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

It is a junction number, because it is equal to n+sod(n) for n = 86791986 and 86792004.

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, 39102 + ... + 41261.

It is an arithmetic number, because the mean of its divisors is an integer number (4520475).

Almost surely, 286792040 is an apocalyptic number.

It is an amenable number.

86792040 is an abundant number, since it is smaller than the sum of its proper divisors (202518360).

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

86792040 is a wasteful number, since it uses less digits than its factorization.

86792040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80383 (or 80373 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 86792040 is about 9316.2245571905. The cubic root of 86792040 is about 442.7514227599.

The spelling of 86792040 in words is "eighty-six million, seven hundred ninety-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 80363 160726 241089 321452 401815 482178 642904 723267 803630 964356 1205445 1446534 1607260 1928712 2169801 2410890 2893068 3214520 3616335 4339602 4821780 5786136 7232670 8679204 9643560 10849005 14465340 17358408 21698010 28930680 43396020 86792040