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83312493 = 3112376203
BaseRepresentation
bin1001111011100…
…11111101101101
312210202201020220
410331303331231
5132311444433
612133401553
72031100365
oct475637555
9183681226
1083312493
1143033a00
1223a992b9
1314350044
14b0c99a5
1574aa2b3
hex4f73f6d

83312493 has 24 divisors (see below), whose sum is σ = 125420064. Its totient is φ = 49119840.

The previous prime is 83312443. The next prime is 83312497. The reversal of 83312493 is 39421338.

It is a happy number.

It is not a de Polignac number, because 83312493 - 26 = 83312429 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83312497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10330 + ... + 16532.

It is an arithmetic number, because the mean of its divisors is an integer number (5225836).

Almost surely, 283312493 is an apocalyptic number.

It is an amenable number.

83312493 is a deficient number, since it is larger than the sum of its proper divisors (42107571).

83312493 is a wasteful number, since it uses less digits than its factorization.

83312493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6265 (or 6254 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 83312493 is about 9127.5677483106. The cubic root of 83312493 is about 436.7538179163.

The spelling of 83312493 in words is "eighty-three million, three hundred twelve thousand, four hundred ninety-three".

Divisors: 1 3 11 33 37 111 121 363 407 1221 4477 6203 13431 18609 68233 204699 229511 688533 750563 2251689 2524621 7573863 27770831 83312493