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85794816 = 21333491
BaseRepresentation
bin1010001110100…
…10000000000000
312222102211100210
411013102000000
5133430413231
612302514120
72061146442
oct507220000
9188384323
1085794816
1144479a08
1224895940
1314a0bb83
14b574492
1577eaa46
hex51d2000

85794816 has 56 divisors (see below), whose sum is σ = 228837744. Its totient is φ = 28590080.

The previous prime is 85794811. The next prime is 85794827. The reversal of 85794816 is 61849758.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (85794811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22831 + ... + 26321.

Almost surely, 285794816 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 85794816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114418872).

85794816 is an abundant number, since it is smaller than the sum of its proper divisors (143042928).

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

85794816 is an equidigital number, since it uses as much as digits as its factorization.

85794816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520 (or 3496 counting only the distinct ones).

The product of its digits is 483840, while the sum is 48.

The square root of 85794816 is about 9262.5491091816. The cubic root of 85794816 is about 441.0491766983.

The spelling of 85794816 in words is "eighty-five million, seven hundred ninety-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 3491 4096 6144 6982 8192 10473 12288 13964 20946 24576 27928 41892 55856 83784 111712 167568 223424 335136 446848 670272 893696 1340544 1787392 2681088 3574784 5362176 7149568 10724352 14299136 21448704 28598272 42897408 85794816