Search a number
-
+
82907316 = 22322302981
BaseRepresentation
bin1001111000100…
…01000010110100
312210000010110100
410330101002310
5132211013231
612120554100
72024462202
oct474210264
9183003410
1082907316
1142887548
1223922930
131423a7ab
14b022072
15742a1e6
hex4f110b4

82907316 has 18 divisors (see below), whose sum is σ = 209571362. Its totient is φ = 27635760.

The previous prime is 82907291. The next prime is 82907323. The reversal of 82907316 is 61370928.

It can be written as a sum of positive squares in only one way, i.e., 69555600 + 13351716 = 8340^2 + 3654^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2302981 = 82907316 / (8 + 2 + 9 + 0 + 7 + 3 + 1 + 6).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1151455 + ... + 1151526.

Almost surely, 282907316 is an apocalyptic number.

It is an amenable number.

82907316 is an abundant number, since it is smaller than the sum of its proper divisors (126664046).

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

82907316 is a wasteful number, since it uses less digits than its factorization.

82907316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302991 (or 2302986 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 82907316 is about 9105.3454629684. The cubic root of 82907316 is about 436.0446395391.

The spelling of 82907316 in words is "eighty-two million, nine hundred seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 2302981 4605962 6908943 9211924 13817886 20726829 27635772 41453658 82907316