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84745728 = 293253347
BaseRepresentation
bin1010000110100…
…01111000000000
312220110112021200
411003101320000
5133143330403
612224221200
72046220044
oct503217000
9186415250
1084745728
11439227a1
122446a800
1314732502
14b380024
15768eca3
hex50d1e00

84745728 has 120 divisors (see below), whose sum is σ = 249914808. Its totient is φ = 27635712.

The previous prime is 84745693. The next prime is 84745741. The reversal of 84745728 is 82754748.

84745728 is a `hidden beast` number, since 8 + 4 + 74 + 572 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244051 + ... + 244397.

Almost surely, 284745728 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 84745728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124957404).

84745728 is an abundant number, since it is smaller than the sum of its proper divisors (165169080).

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

84745728 is a wasteful number, since it uses less digits than its factorization.

84745728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 405 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 84745728 is about 9205.7442936462. The cubic root of 84745728 is about 439.2441015963.

The spelling of 84745728 in words is "eighty-four million, seven hundred forty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 256 288 318 347 384 424 477 512 576 636 694 768 848 954 1041 1152 1272 1388 1536 1696 1908 2082 2304 2544 2776 3123 3392 3816 4164 4608 5088 5552 6246 6784 7632 8328 10176 11104 12492 13568 15264 16656 18391 20352 22208 24984 27136 30528 33312 36782 40704 44416 49968 55173 61056 66624 73564 81408 88832 99936 110346 122112 133248 147128 165519 177664 199872 220692 244224 266496 294256 331038 399744 441384 532992 588512 662076 799488 882768 1177024 1324152 1598976 1765536 2354048 2648304 3531072 4708096 5296608 7062144 9416192 10593216 14124288 21186432 28248576 42372864 84745728