Search a number
-
+
985208532 = 2237112936767
BaseRepresentation
bin111010101110010…
…001011011010100
32112122211210000220
4322232101123110
54004203133112
6241432234340
733262064040
oct7256213324
92478753026
10985208532
11466140830
12235b3b9b0
1312915b739
1494bbb020
155b75d98c
hex3ab916d4

985208532 has 96 divisors (see below), whose sum is σ = 2964971520. Its totient is φ = 247067520.

The previous prime is 985208513. The next prime is 985208569. The reversal of 985208532 is 235802589.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8413 + ... + 45179.

It is an arithmetic number, because the mean of its divisors is an integer number (30885120).

Almost surely, 2985208532 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 985208532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482485760).

985208532 is an abundant number, since it is smaller than the sum of its proper divisors (1979762988).

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

985208532 is a wasteful number, since it uses less digits than its factorization.

985208532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36821 (or 36819 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 985208532 is about 31388.0316681375. The cubic root of 985208532 is about 995.0449991854.

The spelling of 985208532 in words is "nine hundred eighty-five million, two hundred eight thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 29 33 42 44 58 66 77 84 87 116 132 154 174 203 231 308 319 348 406 462 609 638 812 924 957 1218 1276 1914 2233 2436 3828 4466 6699 8932 13398 26796 36767 73534 110301 147068 220602 257369 404437 441204 514738 772107 808874 1029476 1066243 1213311 1544214 1617748 2132486 2426622 2831059 3088428 3198729 4264972 4853244 5662118 6397458 7463701 8493177 11324236 11728673 12794916 14927402 16986354 22391103 23457346 29854804 33972708 35186019 44782206 46914692 70372038 82100711 89564412 140744076 164201422 246302133 328402844 492604266 985208532