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82461696 = 2103171579
BaseRepresentation
bin1001110101001…
…00010000000000
312202011111011220
410322210100000
5132102233241
612103235040
72020625052
oct472442000
9182144156
1082461696
1142602769
1223748a80
1314112a05
14ad478d2
15738d166
hex4ea4400

82461696 has 88 divisors (see below), whose sum is σ = 232866720. Its totient is φ = 25853952.

The previous prime is 82461677. The next prime is 82461727. The reversal of 82461696 is 69616428.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51435 + ... + 53013.

Almost surely, 282461696 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 82461696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116433360).

82461696 is an abundant number, since it is smaller than the sum of its proper divisors (150405024).

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

82461696 is a wasteful number, since it uses less digits than its factorization.

82461696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1601 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 82461696 is about 9080.8422516857. The cubic root of 82461696 is about 435.2620009705.

The spelling of 82461696 in words is "eighty-two million, four hundred sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1579 1632 2176 3072 3158 3264 4352 4737 6316 6528 8704 9474 12632 13056 17408 18948 25264 26112 26843 37896 50528 52224 53686 75792 80529 101056 107372 151584 161058 202112 214744 303168 322116 404224 429488 606336 644232 808448 858976 1212672 1288464 1616896 1717952 2425344 2576928 3435904 4850688 5153856 6871808 10307712 13743616 20615424 27487232 41230848 82461696