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98638148 = 22717474409
BaseRepresentation
bin1011110000100…
…01100101000100
320212121100002202
411320101211010
5200222410043
613442054032
72305260530
oct570214504
9225540082
1098638148
1150751334
122904a318
131758798b
14d158bc0
1589d61b8
hex5e11944

98638148 has 48 divisors (see below), whose sum is σ = 213373440. Its totient is φ = 38931456.

The previous prime is 98638117. The next prime is 98638201. The reversal of 98638148 is 84183689.

It is a Smith number, since the sum of its digits (47) 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 (47).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20168 + ... + 24576.

It is an arithmetic number, because the mean of its divisors is an integer number (4445280).

Almost surely, 298638148 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 98638148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106686720).

98638148 is an abundant number, since it is smaller than the sum of its proper divisors (114735292).

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

98638148 is a wasteful number, since it uses less digits than its factorization.

98638148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4484 (or 4482 counting only the distinct ones).

The product of its digits is 331776, while the sum is 47.

The square root of 98638148 is about 9931.6739777341. The cubic root of 98638148 is about 462.0421930069.

The spelling of 98638148 in words is "ninety-eight million, six hundred thirty-eight thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 17 28 34 47 68 94 119 188 238 329 476 658 799 1316 1598 3196 4409 5593 8818 11186 17636 22372 30863 61726 74953 123452 149906 207223 299812 414446 524671 828892 1049342 1450561 2098684 2901122 3522791 5802244 7045582 14091164 24659537 49319074 98638148