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84468984 = 23319712609
BaseRepresentation
bin1010000100011…
…10010011111000
312212221110122220
411002032103320
5133111001414
612214244040
72043655155
oct502162370
9185843586
1084468984
1143753886
1224356620
1314666562
14b30b22c
157637ca9
hex508e4f8

84468984 has 64 divisors (see below), whose sum is σ = 225504000. Its totient is φ = 26288640.

The previous prime is 84468973. The next prime is 84469001. The reversal of 84468984 is 48986448.

It is a congruent number.

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, 31072 + ... + 33680.

It is an arithmetic number, because the mean of its divisors is an integer number (3523500).

Almost surely, 284468984 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 84468984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112752000).

84468984 is an abundant number, since it is smaller than the sum of its proper divisors (141035016).

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

84468984 is a wasteful number, since it uses less digits than its factorization.

84468984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2708 (or 2704 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 51.

The square root of 84468984 is about 9190.7009525933. The cubic root of 84468984 is about 438.7654511973.

The spelling of 84468984 in words is "eighty-four million, four hundred sixty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 71 76 114 142 152 213 228 284 426 456 568 852 1349 1704 2609 2698 4047 5218 5396 7827 8094 10436 10792 15654 16188 20872 31308 32376 49571 62616 99142 148713 185239 198284 297426 370478 396568 555717 594852 740956 1111434 1189704 1481912 2222868 3519541 4445736 7039082 10558623 14078164 21117246 28156328 42234492 84468984