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84414736 = 2473141593
BaseRepresentation
bin1010000100000…
…01000100010000
312212211201020201
411002001010100
5133102232421
612213144544
72043341050
oct502010420
9185751221
1084414736
114371704a
122432b154
1314647963
14b2d5560
157626b91
hex5081110

84414736 has 80 divisors (see below), whose sum is σ = 197987328. Its totient is φ = 34099200.

The previous prime is 84414727. The next prime is 84414763. The reversal of 84414736 is 63741448.

It is a junction number, because it is equal to n+sod(n) for n = 84414695 and 84414704.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142056 + ... + 142648.

Almost surely, 284414736 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 84414736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98993664).

84414736 is an abundant number, since it is smaller than the sum of its proper divisors (113572592).

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

84414736 is a wasteful number, since it uses less digits than its factorization.

84414736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 674 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The square root of 84414736 is about 9187.7492347147. The cubic root of 84414736 is about 438.6715025299.

The spelling of 84414736 in words is "eighty-four million, four hundred fourteen thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 31 41 56 62 82 112 124 164 217 248 287 328 434 496 574 593 656 868 1148 1186 1271 1736 2296 2372 2542 3472 4151 4592 4744 5084 8302 8897 9488 10168 16604 17794 18383 20336 24313 33208 35588 36766 48626 66416 71176 73532 97252 128681 142352 147064 170191 194504 257362 294128 340382 389008 514724 680764 753703 1029448 1361528 1507406 2058896 2723056 3014812 5275921 6029624 10551842 12059248 21103684 42207368 84414736