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98006472 = 23329714033
BaseRepresentation
bin1011101011101…
…11010111001000
320211102020121100
411311313113020
5200042201342
613420341400
72300020104
oct565672710
9224366540
1098006472
115035a793
12289a4860
13173c62c5
14d032904
15890de4c
hex5d775c8

98006472 has 48 divisors (see below), whose sum is σ = 268189740. Its totient is φ = 32329728.

The previous prime is 98006459. The next prime is 98006507. The reversal of 98006472 is 27460089.

98006472 is a `hidden beast` number, since 9 + 8 + 0 + 0 + 647 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 92275236 + 5731236 = 9606^2 + 2394^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33 + ... + 14000.

Almost surely, 298006472 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 98006472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134094870).

98006472 is an abundant number, since it is smaller than the sum of its proper divisors (170183268).

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

98006472 is a wasteful number, since it uses less digits than its factorization.

98006472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14142 (or 14135 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 98006472 is about 9899.8218165783. The cubic root of 98006472 is about 461.0537782150.

The spelling of 98006472 in words is "ninety-eight million, six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 776 873 1164 1746 2328 3492 6984 14033 28066 42099 56132 84198 112264 126297 168396 252594 336792 505188 1010376 1361201 2722402 4083603 5444804 8167206 10889608 12250809 16334412 24501618 32668824 49003236 98006472