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84740916 = 223132272393
BaseRepresentation
bin1010000110100…
…00101100110100
312220110021200110
411003100230310
5133143202131
612224143020
72046200031
oct503205464
9186407613
1084740916
114391a117
1224467a70
1314730270
14b37c388
15768d646
hex50d0b34

84740916 has 48 divisors (see below), whose sum is σ = 213966144. Its totient is φ = 25948416.

The previous prime is 84740899. The next prime is 84740923. The reversal of 84740916 is 61904748.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 15 ways as a sum of consecutive naturals, for example, 34216 + ... + 36608.

It is an arithmetic number, because the mean of its divisors is an integer number (4457628).

Almost surely, 284740916 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 84740916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106983072).

84740916 is an abundant number, since it is smaller than the sum of its proper divisors (129225228).

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

84740916 is a wasteful number, since it uses less digits than its factorization.

84740916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 84740916 is about 9205.4829313839. The cubic root of 84740916 is about 439.2357877746.

The spelling of 84740916 in words is "eighty-four million, seven hundred forty thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 227 454 681 908 1362 2393 2724 2951 4786 5902 7179 8853 9572 11804 14358 17706 28716 31109 35412 62218 93327 124436 186654 373308 543211 1086422 1629633 2172844 3259266 6518532 7061743 14123486 21185229 28246972 42370458 84740916