Search a number
-
+
81616656 = 24311331467
BaseRepresentation
bin1001101110101…
…01111100010000
312200120120000010
410313111330100
5131343213111
612033154520
72010505302
oct467257420
9180516003
1081616656
1142085890
12233bba40
1313ba81a4
14aba7972
157272aa6
hex4dd5f10

81616656 has 80 divisors (see below), whose sum is σ = 231199488. Its totient is φ = 24604800.

The previous prime is 81616651. The next prime is 81616657. The reversal of 81616656 is 65661618.

It is a super-2 number, since 2×816166562 = 13322557073244672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (81616651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174535 + ... + 175001.

Almost surely, 281616656 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 81616656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115599744).

81616656 is an abundant number, since it is smaller than the sum of its proper divisors (149582832).

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

81616656 is a wasteful number, since it uses less digits than its factorization.

81616656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 814 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 81616656 is about 9034.1937105643. The cubic root of 81616656 is about 433.7700864110.

The spelling of 81616656 in words is "eighty-one million, six hundred sixteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 331 467 528 662 934 993 1324 1401 1868 1986 2648 2802 3641 3736 3972 5137 5296 5604 7282 7472 7944 10274 10923 11208 14564 15411 15888 20548 21846 22416 29128 30822 41096 43692 58256 61644 82192 87384 123288 154577 174768 246576 309154 463731 618308 927462 1236616 1700347 1854924 2473232 3400694 3709848 5101041 6801388 7419696 10202082 13602776 20404164 27205552 40808328 81616656