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83268486 = 234797757
BaseRepresentation
bin1001111011010…
…01001110000110
312210200110220000
410331221032012
5132304042421
612132422130
72030525160
oct475511606
9183613800
1083268486
1143003934
1223a77946
1314335cc2
14b0b7930
15749c226
hex4f69386

83268486 has 80 divisors (see below), whose sum is σ = 215720736. Its totient is φ = 23514624.

The previous prime is 83268481. The next prime is 83268491. The reversal of 83268486 is 68486238.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (83268481) and next prime (83268491).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83268481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 109620 + ... + 110376.

Almost surely, 283268486 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83268486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107860368).

83268486 is an abundant number, since it is smaller than the sum of its proper divisors (132452250).

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

83268486 is a wasteful number, since it uses less digits than its factorization.

83268486 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 866 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 83268486 is about 9125.1567657767. The cubic root of 83268486 is about 436.6769042398.

The spelling of 83268486 in words is "eighty-three million, two hundred sixty-eight thousand, four hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 97 126 162 189 194 291 378 567 582 679 757 873 1134 1358 1514 1746 2037 2271 2619 4074 4542 5238 5299 6111 6813 7857 10598 12222 13626 15714 15897 18333 20439 31794 36666 40878 47691 54999 61317 73429 95382 109998 122634 143073 146858 220287 286146 429219 440574 514003 660861 858438 1028006 1321722 1542009 1982583 3084018 3965166 4626027 5947749 9252054 11895498 13878081 27756162 41634243 83268486