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98352 = 2432683
BaseRepresentation
bin11000000000110000
311222220200
4120000300
511121402
62035200
7556512
oct300060
9158820
1098352
1167991
1248b00
13359c7
1427bb2
151e21c
hex18030

98352 has 30 divisors (see below), whose sum is σ = 275652. Its totient is φ = 32736.

The previous prime is 98347. The next prime is 98369. The reversal of 98352 is 25389.

It is an Ulam number.

It is a zygodrome in base 2.

It is an unprimeable number.

98352 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 198 + ... + 485.

298352 is an apocalyptic number.

It is an amenable number.

98352 is an abundant number, since it is smaller than the sum of its proper divisors (177300).

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

98352 is a wasteful number, since it uses less digits than its factorization.

98352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 688 counting only the distinct ones).

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

The square root of 98352 is about 313.6112242889. The cubic root of 98352 is about 46.1594967441.

It can be divided in two parts, 983 and 52, that added together give a triangular number (1035 = T45).

The spelling of 98352 in words is "ninety-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 683 1366 2049 2732 4098 5464 6147 8196 10928 12294 16392 24588 32784 49176 98352