Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
98532 = 223271723
BaseRepresentation
bin11000000011100100
312000011100
4120003210
511123112
62040100
7560160
oct300344
9160140
1098532
1168035
1249030
1335b05
1427ca0
151e2dc
hex180e4

98532 has 72 divisors (see below), whose sum is σ = 314496. Its totient is φ = 25344.

The previous prime is 98519. The next prime is 98533. The reversal of 98532 is 23589.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 98496 and 98505.

It is not an unprimeable number, because it can be changed into a prime (98533) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4273 + ... + 4295.

It is an arithmetic number, because the mean of its divisors is an integer number (4368).

298532 is an apocalyptic number.

98532 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248).

98532 is an abundant number, since it is smaller than the sum of its proper divisors (215964).

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

98532 is a wasteful number, since it uses less digits than its factorization.

98532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 52 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 98532 is about 313.8980726287. The cubic root of 98532 is about 46.1876393536.

It can be divided in two parts, 98 and 532, that added together give a triangular number (630 = T35).

The spelling of 98532 in words is "ninety-eight thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 23 28 34 36 42 46 51 63 68 69 84 92 102 119 126 138 153 161 204 207 238 252 276 306 322 357 391 414 476 483 612 644 714 782 828 966 1071 1173 1428 1449 1564 1932 2142 2346 2737 2898 3519 4284 4692 5474 5796 7038 8211 10948 14076 16422 24633 32844 49266 98532