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84881408 = 212172353
BaseRepresentation
bin1010000111100…
…11000000000000
312220201102101212
411003303000000
5133212201113
612231145252
72050323443
oct503630000
9186642355
1084881408
1143a05727
1224515228
131477c1b1
14b3b765a
1576ba0a8
hex50f3000

84881408 has 104 divisors (see below), whose sum is σ = 191079648. Its totient is φ = 37486592.

The previous prime is 84881399. The next prime is 84881413. The reversal of 84881408 is 80418848.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1601510 + ... + 1601562.

Almost surely, 284881408 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 84881408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95539824).

84881408 is an abundant number, since it is smaller than the sum of its proper divisors (106198240).

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

84881408 is a wasteful number, since it uses less digits than its factorization.

84881408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 41.

The square root of 84881408 is about 9213.1106581871. The cubic root of 84881408 is about 439.4783901524.

The spelling of 84881408 in words is "eighty-four million, eight hundred eighty-one thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 23 32 34 46 53 64 68 92 106 128 136 184 212 256 272 368 391 424 512 544 736 782 848 901 1024 1088 1219 1472 1564 1696 1802 2048 2176 2438 2944 3128 3392 3604 4096 4352 4876 5888 6256 6784 7208 8704 9752 11776 12512 13568 14416 17408 19504 20723 23552 25024 27136 28832 34816 39008 41446 47104 50048 54272 57664 69632 78016 82892 94208 100096 108544 115328 156032 165784 200192 217088 230656 312064 331568 400384 461312 624128 663136 800768 922624 1248256 1326272 1601536 1845248 2496512 2652544 3690496 4993024 5305088 10610176 21220352 42440704 84881408