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98234208 = 25364211
BaseRepresentation
bin1011101101011…
…10111101100000
320211211211000000
411312232331200
5200121443313
613425300000
72301656052
oct566567540
9224754000
1098234208
11504a58a6
1228a94600
1317475b67
14d0918d2
158956673
hex5daef60

98234208 has 84 divisors (see below), whose sum is σ = 290034108. Its totient is φ = 32736960.

The previous prime is 98234207. The next prime is 98234249. The reversal of 98234208 is 80243289.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98234207) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 21223 + ... + 25433.

It is an arithmetic number, because the mean of its divisors is an integer number (3452787).

Almost surely, 298234208 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 98234208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145017054).

98234208 is an abundant number, since it is smaller than the sum of its proper divisors (191799900).

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

98234208 is an equidigital number, since it uses as much as digits as its factorization.

98234208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4239 (or 4216 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 98234208 is about 9911.3171677633. The cubic root of 98234208 is about 461.4106162827.

The spelling of 98234208 in words is "ninety-eight million, two hundred thirty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3888 4211 5832 7776 8422 11664 12633 16844 23328 25266 33688 37899 50532 67376 75798 101064 113697 134752 151596 202128 227394 303192 341091 404256 454788 606384 682182 909576 1023273 1212768 1364364 1819152 2046546 2728728 3069819 3638304 4093092 5457456 6139638 8186184 10914912 12279276 16372368 24558552 32744736 49117104 98234208