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85428216 = 2333675903
BaseRepresentation
bin1010001011110…
…00011111111000
312221202012111000
411011320133320
5133332200331
612251005000
72055061566
oct505703770
9187665430
1085428216
1144249535
1224739760
1314911053
14b4baa36
1577770e6
hex51787f8

85428216 has 64 divisors (see below), whose sum is σ = 240883200. Its totient is φ = 28046304.

The previous prime is 85428197. The next prime is 85428241. The reversal of 85428216 is 61282458.

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

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, 11521 + ... + 17423.

It is an arithmetic number, because the mean of its divisors is an integer number (3763800).

Almost surely, 285428216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85428216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120441600).

85428216 is an abundant number, since it is smaller than the sum of its proper divisors (155454984).

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

85428216 is a wasteful number, since it uses less digits than its factorization.

85428216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5985 (or 5975 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 85428216 is about 9242.7385552119. The cubic root of 85428216 is about 440.4200809025.

The spelling of 85428216 in words is "eighty-five million, four hundred twenty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 108 134 201 216 268 402 536 603 804 1206 1608 1809 2412 3618 4824 5903 7236 11806 14472 17709 23612 35418 47224 53127 70836 106254 141672 159381 212508 318762 395501 425016 637524 791002 1186503 1275048 1582004 2373006 3164008 3559509 4746012 7119018 9492024 10678527 14238036 21357054 28476072 42714108 85428216