Search a number
-
+
83870496 = 2532291217
BaseRepresentation
bin1001111111111…
…00001100100000
312211211001200200
410333330030200
5132432323441
612153345200
72035613253
oct477741440
9184731620
1083870496
1143385166
1224108200
13144b7018
14b1d309a
15756a7b6
hex4ffc320

83870496 has 36 divisors (see below), whose sum is σ = 238507542. Its totient is φ = 27956736.

The previous prime is 83870491. The next prime is 83870497. The reversal of 83870496 is 69407838.

It is a happy number.

83870496 is a `hidden beast` number, since 83 + 87 + 0 + 496 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61402896 + 22467600 = 7836^2 + 4740^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (83870491) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 145321 + ... + 145896.

Almost surely, 283870496 is an apocalyptic number.

It is an amenable number.

83870496 is an abundant number, since it is smaller than the sum of its proper divisors (154637046).

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

83870496 is a wasteful number, since it uses less digits than its factorization.

83870496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291233 (or 291222 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 83870496 is about 9158.0836423348. The cubic root of 83870496 is about 437.7267326533.

The spelling of 83870496 in words is "eighty-three million, eight hundred seventy thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 291217 582434 873651 1164868 1747302 2329736 2620953 3494604 4659472 5241906 6989208 9318944 10483812 13978416 20967624 27956832 41935248 83870496