Search a number
-
+
84874950 = 23252474013
BaseRepresentation
bin1010000111100…
…01011011000110
312220201002112200
411003301123012
5133211444300
612231055330
72050265556
oct503613306
9186632480
1084874950
1143a00896
1224511546
1314779284
14b3b5166
1576b8200
hex50f16c6

84874950 has 72 divisors (see below), whose sum is σ = 232940448. Its totient is φ = 22146240.

The previous prime is 84874949. The next prime is 84874963. The reversal of 84874950 is 5947848.

84874950 is a `hidden beast` number, since 84 + 87 + 495 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 84874896 and 84874905.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 19144 + ... + 23156.

It is an arithmetic number, because the mean of its divisors is an integer number (3235284).

Almost surely, 284874950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84874950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116470224).

84874950 is an abundant number, since it is smaller than the sum of its proper divisors (148065498).

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

84874950 is a wasteful number, since it uses less digits than its factorization.

84874950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4078 (or 4070 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 84874950 is about 9212.7601727170. The cubic root of 84874950 is about 439.4672443138.

The spelling of 84874950 in words is "eighty-four million, eight hundred seventy-four thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 47 50 75 90 94 141 150 225 235 282 423 450 470 705 846 1175 1410 2115 2350 3525 4013 4230 7050 8026 10575 12039 20065 21150 24078 36117 40130 60195 72234 100325 120390 180585 188611 200650 300975 361170 377222 565833 601950 902925 943055 1131666 1697499 1805850 1886110 2829165 3394998 4715275 5658330 8487495 9430550 14145825 16974990 28291650 42437475 84874950