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84825090 = 23357371213
BaseRepresentation
bin1010000111001…
…01010000000010
312220121120011000
411003211100002
5133203400330
612230032430
72050000320
oct503452002
9186546130
1084825090
1143977389
12244a8716
131475c67c
14b3a0d10
1576a8560
hex50e5402

84825090 has 128 divisors (see below), whose sum is σ = 265720320. Its totient is φ = 18849024.

The previous prime is 84825089. The next prime is 84825109. The reversal of 84825090 is 9052848.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69324 + ... + 70536.

It is an arithmetic number, because the mean of its divisors is an integer number (2075940).

Almost surely, 284825090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84825090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132860160).

84825090 is an abundant number, since it is smaller than the sum of its proper divisors (180895230).

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

84825090 is a wasteful number, since it uses less digits than its factorization.

84825090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 84825090 is about 9210.0537457715. The cubic root of 84825090 is about 439.3811720827.

The spelling of 84825090 in words is "eighty-four million, eight hundred twenty-five thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 37 42 45 54 63 70 74 90 105 111 126 135 185 189 210 222 259 270 315 333 370 378 518 555 630 666 777 945 999 1110 1213 1295 1554 1665 1890 1998 2331 2426 2590 3330 3639 3885 4662 4995 6065 6993 7278 7770 8491 9990 10917 11655 12130 13986 16982 18195 21834 23310 25473 32751 34965 36390 42455 44881 50946 54585 65502 69930 76419 84910 89762 109170 127365 134643 152838 163755 224405 229257 254730 269286 314167 327510 382095 403929 448810 458514 628334 673215 764190 807858 942501 1146285 1211787 1346430 1570835 1885002 2019645 2292570 2423574 2827503 3141670 4039290 4712505 5655006 6058935 8482509 9425010 12117870 14137515 16965018 28275030 42412545 84825090