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84392490 = 235713191627
BaseRepresentation
bin1010000011110…
…11101000101010
312212210120201210
411001323220222
5133101024430
612212453550
72043216150
oct501735052
9185716653
1084392490
1143701366
122431a2b6
131463a7b0
14b2cb3d0
1576202b0
hex507ba2a

84392490 has 128 divisors (see below), whose sum is σ = 262563840. Its totient is φ = 16858368.

The previous prime is 84392467. The next prime is 84392501. The reversal of 84392490 is 9429348.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51057 + ... + 52683.

It is an arithmetic number, because the mean of its divisors is an integer number (2051280).

Almost surely, 284392490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84392490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131281920).

84392490 is an abundant number, since it is smaller than the sum of its proper divisors (178171350).

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

84392490 is a wasteful number, since it uses less digits than its factorization.

84392490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676.

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 84392490 is about 9186.5385211188. The cubic root of 84392490 is about 438.6329644576.

The spelling of 84392490 in words is "eighty-four million, three hundred ninety-two thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 19 21 26 30 35 38 39 42 57 65 70 78 91 95 105 114 130 133 182 190 195 210 247 266 273 285 390 399 455 494 546 570 665 741 798 910 1235 1330 1365 1482 1627 1729 1995 2470 2730 3254 3458 3705 3990 4881 5187 7410 8135 8645 9762 10374 11389 16270 17290 21151 22778 24405 25935 30913 34167 42302 48810 51870 56945 61826 63453 68334 92739 105755 113890 126906 148057 154565 170835 185478 211510 216391 296114 309130 317265 341670 401869 432782 444171 463695 634530 649173 740285 803738 888342 927390 1081955 1205607 1298346 1480570 2009345 2163910 2220855 2411214 2813083 3245865 4018690 4441710 5626166 6028035 6491730 8439249 12056070 14065415 16878498 28130830 42196245 84392490