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85899352 = 23721121811
BaseRepresentation
bin1010001111010…
…11100001011000
312222122010202111
411013223201120
5133442234402
612305042104
72062063300
oct507534130
9188563674
1085899352
1144540500
1224926334
1314a47626
14b5a0600
15781b9d7
hex51eb858

85899352 has 72 divisors (see below), whose sum is σ = 206051580. Its totient is φ = 33448800.

The previous prime is 85899347. The next prime is 85899353. The reversal of 85899352 is 25399858.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 85899296 and 85899305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85899353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 46527 + ... + 48337.

Almost surely, 285899352 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 85899352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103025790).

85899352 is an abundant number, since it is smaller than the sum of its proper divisors (120152228).

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

85899352 is a wasteful number, since it uses less digits than its factorization.

85899352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1831 counting only the distinct ones).

The product of its digits is 777600, while the sum is 49.

The square root of 85899352 is about 9268.1903303719. The cubic root of 85899352 is about 441.2282349286.

The spelling of 85899352 in words is "eighty-five million, eight hundred ninety-nine thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 121 154 196 242 308 392 484 539 616 847 968 1078 1694 1811 2156 3388 3622 4312 5929 6776 7244 11858 12677 14488 19921 23716 25354 39842 47432 50708 79684 88739 101416 139447 159368 177478 219131 278894 354956 438262 557788 709912 876524 976129 1115576 1533917 1753048 1952258 3067834 3904516 6135668 7809032 10737419 12271336 21474838 42949676 85899352