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83722484 = 221723199269
BaseRepresentation
bin1001111110110…
…00000011110100
312211112112122202
410333120003310
5132413104414
612150244032
72034425606
oct477300364
9184475582
1083722484
1143293a3a
1224056618
1314464841
14b195176
15753b9de
hex4fd80f4

83722484 has 48 divisors (see below), whose sum is σ = 163296000. Its totient is φ = 37357056.

The previous prime is 83722477. The next prime is 83722487. The reversal of 83722484 is 48422738.

It is a happy number.

Its product of digits (86016) is a multiple of the sum of its prime factors (512).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83722487) 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, 311102 + ... + 311370.

It is an arithmetic number, because the mean of its divisors is an integer number (3402000).

Almost surely, 283722484 is an apocalyptic number.

It is an amenable number.

83722484 is a deficient number, since it is larger than the sum of its proper divisors (79573516).

83722484 is a wasteful number, since it uses less digits than its factorization.

83722484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 510 counting only the distinct ones).

The product of its digits is 86016, while the sum is 38.

The square root of 83722484 is about 9149.9991256830. Note that the first 3 decimals coincide. The cubic root of 83722484 is about 437.4690855979.

The spelling of 83722484 in words is "eighty-three million, seven hundred twenty-two thousand, four hundred eighty-four".

Divisors: 1 2 4 17 23 34 46 68 92 199 269 391 398 538 782 796 1076 1564 3383 4573 4577 6187 6766 9146 9154 12374 13532 18292 18308 24748 53531 77809 105179 107062 155618 210358 214124 311236 420716 910027 1231213 1820054 2462426 3640108 4924852 20930621 41861242 83722484