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85276672 = 211133203
BaseRepresentation
bin1010001010100…
…11100000000000
312221110111121021
411011103200000
5133312323142
612243435224
72053561015
oct505234000
9187414537
1085276672
1144155698
1224685b14
131488a090
14b47b70c
157747267
hex5153800

85276672 has 48 divisors (see below), whose sum is σ = 183685320. Its totient is φ = 39346176.

The previous prime is 85276661. The next prime is 85276703. The reversal of 85276672 is 27667258.

It is a super-2 number, since 2×852766722 = 14544221574791168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25023 + ... + 28225.

Almost surely, 285276672 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 85276672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91842660).

85276672 is an abundant number, since it is smaller than the sum of its proper divisors (98408648).

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

85276672 is a wasteful number, since it uses less digits than its factorization.

85276672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3238 (or 3218 counting only the distinct ones).

The product of its digits is 282240, while the sum is 43.

The square root of 85276672 is about 9234.5369131321. The cubic root of 85276672 is about 440.1595014019.

The spelling of 85276672 in words is "eighty-five million, two hundred seventy-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3203 3328 6406 6656 12812 13312 25624 26624 41639 51248 83278 102496 166556 204992 333112 409984 666224 819968 1332448 1639936 2664896 3279872 5329792 6559744 10659584 21319168 42638336 85276672