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98713314 = 23273132503
BaseRepresentation
bin1011110001000…
…11111011100010
320212202011012200
411320203323202
5200232311224
613443434030
72306022630
oct570437342
9225664180
1098713314
11507a2857
1229085916
13175b2c5b
14d178350
1589ed5c9
hex5e23ee2

98713314 has 48 divisors (see below), whose sum is σ = 245311872. Its totient is φ = 28102464.

The previous prime is 98713291. The next prime is 98713319. The reversal of 98713314 is 41331789.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (98713319) 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, 38187 + ... + 40689.

It is an arithmetic number, because the mean of its divisors is an integer number (5110664).

Almost surely, 298713314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98713314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122655936).

98713314 is an abundant number, since it is smaller than the sum of its proper divisors (146598558).

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

98713314 is a wasteful number, since it uses less digits than its factorization.

98713314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831 (or 2828 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 98713314 is about 9935.4574127214. The cubic root of 98713314 is about 462.1595277504.

The spelling of 98713314 in words is "ninety-eight million, seven hundred thirteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 313 626 939 1878 2191 2503 2817 4382 5006 5634 6573 7509 13146 15018 17521 19719 22527 35042 39438 45054 52563 105126 157689 315378 783439 1566878 2350317 4700634 5484073 7050951 10968146 14101902 16452219 32904438 49356657 98713314