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83789016 = 23337157601
BaseRepresentation
bin1001111111010…
…00010011011000
312211122220220220
410333220103120
5132422222031
612151520040
72035123563
oct477502330
9184586826
1083789016
1143329a23
1224089020
1314488bcc
14b1b14da
157551596
hex4fe84d8

83789016 has 64 divisors (see below), whose sum is σ = 216864480. Its totient is φ = 26956800.

The previous prime is 83789011. The next prime is 83789029. The reversal of 83789016 is 61098738.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83789011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139116 + ... + 139716.

Almost surely, 283789016 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 83789016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108432240).

83789016 is an abundant number, since it is smaller than the sum of its proper divisors (133075464).

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

83789016 is a wasteful number, since it uses less digits than its factorization.

83789016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 83789016 is about 9153.6340324485. The cubic root of 83789016 is about 437.5849365433.

The spelling of 83789016 in words is "eighty-three million, seven hundred eighty-nine thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 157 222 296 314 444 471 601 628 888 942 1202 1256 1803 1884 2404 3606 3768 4808 5809 7212 11618 14424 17427 22237 23236 34854 44474 46472 66711 69708 88948 94357 133422 139416 177896 188714 266844 283071 377428 533688 566142 754856 1132284 2264568 3491209 6982418 10473627 13964836 20947254 27929672 41894508 83789016