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85894668 = 2235194651
BaseRepresentation
bin1010001111010…
…10011000001100
312222121220100000
411013222120030
5133442112133
612305004300
72062043526
oct507523014
9188556300
1085894668
1144537a32
1224923690
1314a45462
14b59ca16
15781a413
hex51ea60c

85894668 has 72 divisors (see below), whose sum is σ = 237065920. Its totient is φ = 27118800.

The previous prime is 85894667. The next prime is 85894681. The reversal of 85894668 is 86649858.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (85894661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16143 + ... + 20793.

Almost surely, 285894668 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 85894668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118532960).

85894668 is an abundant number, since it is smaller than the sum of its proper divisors (151171252).

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

85894668 is a wasteful number, since it uses less digits than its factorization.

85894668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4689 (or 4675 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 85894668 is about 9267.9376346628. The cubic root of 85894668 is about 441.2202148813.

The spelling of 85894668 in words is "eighty-five million, eight hundred ninety-four thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 324 342 486 513 684 972 1026 1539 2052 3078 4617 4651 6156 9234 9302 13953 18468 18604 27906 41859 55812 83718 88369 125577 167436 176738 251154 265107 353476 376731 502308 530214 753462 795321 1060428 1130193 1506924 1590642 2260386 2385963 3181284 4520772 4771926 7157889 9543852 14315778 21473667 28631556 42947334 85894668