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81460608 = 273307691
BaseRepresentation
bin1001101101011…
…11110110000000
312200021121221120
410312233312000
5131323214413
612025552240
72006255325
oct466576600
9180247846
1081460608
1141a89619
1223345680
1313b52158
14ab66b4c
157241723
hex4dafd80

81460608 has 64 divisors (see below), whose sum is σ = 217398720. Its totient is φ = 27025920.

The previous prime is 81460607. The next prime is 81460633. The reversal of 81460608 is 80606418.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81460601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117543 + ... + 118233.

It is an arithmetic number, because the mean of its divisors is an integer number (3396855).

Almost surely, 281460608 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 81460608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108699360).

81460608 is an abundant number, since it is smaller than the sum of its proper divisors (135938112).

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

81460608 is a wasteful number, since it uses less digits than its factorization.

81460608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 81460608 is about 9025.5530578464. The cubic root of 81460608 is about 433.4934592974.

The spelling of 81460608 in words is "eighty-one million, four hundred sixty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 307 384 614 691 921 1228 1382 1842 2073 2456 2764 3684 4146 4912 5528 7368 8292 9824 11056 14736 16584 19648 22112 29472 33168 39296 44224 58944 66336 88448 117888 132672 212137 265344 424274 636411 848548 1272822 1697096 2545644 3394192 5091288 6788384 10182576 13576768 20365152 27153536 40730304 81460608