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82400496 = 24317100981
BaseRepresentation
bin1001110100101…
…01010011110000
312202001101020020
410322111103300
5132043303441
612102043440
72020251453
oct472252360
9182041206
1082400496
1142570792
1223719580
13140c0bb9
14ad2d49a
157379e66
hex4e954f0

82400496 has 40 divisors (see below), whose sum is σ = 225391824. Its totient is φ = 25850880.

The previous prime is 82400489. The next prime is 82400497. The reversal of 82400496 is 69400428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82400497) 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 7 ways as a sum of consecutive naturals, for example, 49675 + ... + 51306.

Almost surely, 282400496 is an apocalyptic number.

It is an amenable number.

82400496 is an abundant number, since it is smaller than the sum of its proper divisors (142991328).

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

82400496 is a wasteful number, since it uses less digits than its factorization.

82400496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101009 (or 101003 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 82400496 is about 9077.4718947513. The cubic root of 82400496 is about 435.1542959050.

The spelling of 82400496 in words is "eighty-two million, four hundred thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 100981 201962 302943 403924 605886 807848 1211772 1615696 1716677 2423544 3433354 4847088 5150031 6866708 10300062 13733416 20600124 27466832 41200248 82400496