Search a number
-
+
98683416 = 2332131931179
BaseRepresentation
bin1011110000111…
…00101000011000
320212200122012100
411320130220120
5200230332131
613443043400
72305536516
oct570345030
9225618170
1098683416
1150782347
1229070560
13175a2470
14d16b4b6
1589e47e6
hex5e1ca18

98683416 has 192 divisors, whose sum is σ = 314496000. Its totient is φ = 27682560.

The previous prime is 98683399. The next prime is 98683441. The reversal of 98683416 is 61438689.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 551215 + ... + 551393.

It is an arithmetic number, because the mean of its divisors is an integer number (1638000).

Almost surely, 298683416 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 98683416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248000).

98683416 is an abundant number, since it is smaller than the sum of its proper divisors (215812584).

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

98683416 is a wasteful number, since it uses less digits than its factorization.

98683416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 247 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 98683416 is about 9933.9526876264. The cubic root of 98683416 is about 462.1128638633.

It can be divided in two parts, 98683 and 416, that added together give a palindrome (99099).

The spelling of 98683416 in words is "ninety-eight million, six hundred eighty-three thousand, four hundred sixteen".