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85946280 = 23357102317
BaseRepresentation
bin1010001111101…
…10111110101000
312222201112010120
411013312332220
5134000240110
612310043240
72062350150
oct507667650
9188645116
1085946280
1144572792
1224949520
1314a62ab4
14b5b3760
15782a870
hex51f6fa8

85946280 has 64 divisors (see below), whose sum is σ = 294675840. Its totient is φ = 19644672.

The previous prime is 85946279. The next prime is 85946299. The reversal of 85946280 is 8264958.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 50319 + ... + 51998.

It is an arithmetic number, because the mean of its divisors is an integer number (4604310).

Almost surely, 285946280 is an apocalyptic number.

It is an amenable number.

85946280 is an abundant number, since it is smaller than the sum of its proper divisors (208729560).

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

85946280 is a wasteful number, since it uses less digits than its factorization.

85946280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102338 (or 102334 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 85946280 is about 9270.7216547581. The cubic root of 85946280 is about 441.3085699899.

The spelling of 85946280 in words is "eighty-five million, nine hundred forty-six thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 102317 204634 306951 409268 511585 613902 716219 818536 1023170 1227804 1432438 1534755 2046340 2148657 2455608 2864876 3069510 3581095 4092680 4297314 5729752 6139020 7162190 8594628 10743285 12278040 14324380 17189256 21486570 28648760 42973140 85946280