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83878496 = 25131631237
BaseRepresentation
bin1001111111111…
…10001001100000
312211211110122222
410333332021200
5132433102441
612153450212
72035645502
oct477761140
9184743588
1083878496
1143390179
1224110968
13144ba860
14b1d5d72
15756cd4b
hex4ffe260

83878496 has 48 divisors (see below), whose sum is σ = 179074224. Its totient is φ = 38444544.

The previous prime is 83878451. The next prime is 83878499. The reversal of 83878496 is 69487838.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83878499) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67190 + ... + 68426.

It is an arithmetic number, because the mean of its divisors is an integer number (3730713).

Almost surely, 283878496 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 83878496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89537112).

83878496 is an abundant number, since it is smaller than the sum of its proper divisors (95195728).

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

83878496 is a wasteful number, since it uses less digits than its factorization.

83878496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1415 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 53.

The square root of 83878496 is about 9158.5204045195. The cubic root of 83878496 is about 437.7406497544.

The spelling of 83878496 in words is "eighty-three million, eight hundred seventy-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 163 208 326 416 652 1237 1304 2119 2474 2608 4238 4948 5216 8476 9896 16081 16952 19792 32162 33904 39584 64324 67808 128648 201631 257296 403262 514592 806524 1613048 2621203 3226096 5242406 6452192 10484812 20969624 41939248 83878496