Search a number
-
+
98087744 = 2629411289
BaseRepresentation
bin1011101100010…
…11001101000000
320211120101002102
411312023031000
5200102301434
613422205532
72300506046
oct566131500
9224511072
1098087744
1150405857
1228a238a8
13174242b1
14d054396
15892807e
hex5d8b340

98087744 has 56 divisors (see below), whose sum is σ = 206425800. Its totient is φ = 46161920.

The previous prime is 98087741. The next prime is 98087761. The reversal of 98087744 is 44778089.

It can be written as a sum of positive squares in 4 ways, for example, as 8065600 + 90022144 = 2840^2 + 9488^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98087741) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75452 + ... + 76740.

It is an arithmetic number, because the mean of its divisors is an integer number (3686175).

Almost surely, 298087744 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 98087744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103212900).

98087744 is an abundant number, since it is smaller than the sum of its proper divisors (108338056).

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

98087744 is a wasteful number, since it uses less digits than its factorization.

98087744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 47.

The square root of 98087744 is about 9903.9256863125. The cubic root of 98087744 is about 461.1811861610.

The spelling of 98087744 in words is "ninety-eight million, eighty-seven thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 29 32 41 58 64 82 116 164 232 328 464 656 928 1189 1289 1312 1856 2378 2578 2624 4756 5156 9512 10312 19024 20624 37381 38048 41248 52849 74762 76096 82496 105698 149524 211396 299048 422792 598096 845584 1196192 1532621 1691168 2392384 3065242 3382336 6130484 12260968 24521936 49043872 98087744