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98644014 = 23371631601
BaseRepresentation
bin1011110000100…
…11000000101110
320212121122011000
411320103000232
5200223102024
613442141130
72305313610
oct570230056
9225548130
1098644014
1150755787
12290517a6
131758a551
14d15adb0
1589d7cc9
hex5e1302e

98644014 has 64 divisors (see below), whose sum is σ = 252218880. Its totient is φ = 27993600.

The previous prime is 98644009. The next prime is 98644043. The reversal of 98644014 is 41044689.

It is a happy number.

98644014 is a `hidden beast` number, since 9 + 8 + 644 + 0 + 1 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 98644014.

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, 60814 + ... + 62414.

It is an arithmetic number, because the mean of its divisors is an integer number (3940920).

Almost surely, 298644014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98644014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126109440).

98644014 is an abundant number, since it is smaller than the sum of its proper divisors (153574866).

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

98644014 is a wasteful number, since it uses less digits than its factorization.

98644014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 98644014 is about 9931.9692911325. The cubic root of 98644014 is about 462.0513520251.

The spelling of 98644014 in words is "ninety-eight million, six hundred forty-four thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 163 189 326 378 489 978 1141 1467 1601 2282 2934 3202 3423 4401 4803 6846 8802 9606 10269 11207 14409 20538 22414 28818 30807 33621 43227 61614 67242 86454 100863 201726 260963 302589 521926 605178 782889 1565778 1826741 2348667 3653482 4697334 5480223 7046001 10960446 14092002 16440669 32881338 49322007 98644014