Search a number
-
+
98114742 = 232111373617
BaseRepresentation
bin1011101100100…
…01110010110110
320211121202010100
411312101302312
5200104132432
613422534530
72300650545
oct566216266
9224552110
1098114742
1150424070
1228a37446
131743367b
14d06015c
15893107c
hex5d91cb6

98114742 has 48 divisors (see below), whose sum is σ = 233664912. Its totient is φ = 29506560.

The previous prime is 98114729. The next prime is 98114749. The reversal of 98114742 is 24741189.

It is a junction number, because it is equal to n+sod(n) for n = 98114697 and 98114706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98114749) 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, 25318 + ... + 28934.

It is an arithmetic number, because the mean of its divisors is an integer number (4868019).

Almost surely, 298114742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98114742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116832456).

98114742 is an abundant number, since it is smaller than the sum of its proper divisors (135550170).

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

98114742 is a wasteful number, since it uses less digits than its factorization.

98114742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3773 (or 3770 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 98114742 is about 9905.2885874163. The cubic root of 98114742 is about 461.2234946322.

It can be divided in two parts, 981147 and 42, that added together give a palindrome (981189).

The spelling of 98114742 in words is "ninety-eight million, one hundred fourteen thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 137 198 274 411 822 1233 1507 2466 3014 3617 4521 7234 9042 10851 13563 21702 27126 32553 39787 65106 79574 119361 238722 358083 495529 716166 991058 1486587 2973174 4459761 5450819 8919522 10901638 16352457 32704914 49057371 98114742