Search a number
-
+
98350304 = 25131713907
BaseRepresentation
bin1011101110010…
…11010011100000
320212001201020212
411313023103200
5200134202204
613431553252
72302651403
oct567132340
9225051225
1098350304
1150575048
1228b2b828
13174b6960
14d0c1d3a
15897ac6e
hex5dcb4e0

98350304 has 48 divisors (see below), whose sum is σ = 220803408. Its totient is φ = 42719232.

The previous prime is 98350283. The next prime is 98350309. The reversal of 98350304 is 40305389.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98350309) 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, 119 + ... + 14025.

It is an arithmetic number, because the mean of its divisors is an integer number (4600071).

Almost surely, 298350304 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 98350304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110401704).

98350304 is an abundant number, since it is smaller than the sum of its proper divisors (122453104).

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

98350304 is a wasteful number, since it uses less digits than its factorization.

98350304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13947 (or 13939 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 98350304 is about 9917.1721775918. The cubic root of 98350304 is about 461.5923141492.

The spelling of 98350304 in words is "ninety-eight million, three hundred fifty thousand, three hundred four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1768 3536 7072 13907 27814 55628 111256 180791 222512 236419 361582 445024 472838 723164 945676 1446328 1891352 2892656 3073447 3782704 5785312 6146894 7565408 12293788 24587576 49175152 98350304