Search a number
-
+
98316792 = 233271910267
BaseRepresentation
bin1011101110000…
…11000111111000
320212000000021200
411313003013320
5200132114132
613431134200
72302451610
oct567030770
9225000250
1098316792
1150551952
1228b14360
13174a4622
14d0b3a40
158970d7c
hex5dc31f8

98316792 has 96 divisors (see below), whose sum is σ = 320361600. Its totient is φ = 26609472.

The previous prime is 98316767. The next prime is 98316793. The reversal of 98316792 is 29761389.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98316793) 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, 4443 + ... + 14709.

It is an arithmetic number, because the mean of its divisors is an integer number (3337100).

Almost surely, 298316792 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 98316792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160180800).

98316792 is an abundant number, since it is smaller than the sum of its proper divisors (222044808).

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

98316792 is a wasteful number, since it uses less digits than its factorization.

98316792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10305 (or 10298 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 98316792 is about 9915.4824390949. The cubic root of 98316792 is about 461.5398803546.

The spelling of 98316792 in words is "ninety-eight million, three hundred sixteen thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1596 2394 3192 4788 9576 10267 20534 30801 41068 61602 71869 82136 92403 123204 143738 184806 195073 215607 246408 287476 369612 390146 431214 574952 585219 646821 739224 780292 862428 1170438 1293642 1365511 1560584 1724856 1755657 2340876 2587284 2731022 3511314 4096533 4681752 5174568 5462044 7022628 8193066 10924088 12289599 14045256 16386132 24579198 32772264 49158396 98316792