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239093148 = 223721492729
BaseRepresentation
bin11100100000001…
…00010110011100
3121122220012010210
432100010112130
5442201440043
635420332420
75632154400
oct1620042634
9548805123
10239093148
11112a64248
12680a4110
133a6c4148
1423a7b100
1515ecc633
hexe40459c

239093148 has 72 divisors (see below), whose sum is σ = 653562000. Its totient is φ = 67828992.

The previous prime is 239093147. The next prime is 239093161. The reversal of 239093148 is 841390932.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239093147) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 86248 + ... + 88976.

It is an arithmetic number, because the mean of its divisors is an integer number (9077250).

Almost surely, 2239093148 is an apocalyptic number.

239093148 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239093148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326781000).

239093148 is an abundant number, since it is smaller than the sum of its proper divisors (414468852).

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

239093148 is a wasteful number, since it uses less digits than its factorization.

239093148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899 (or 2890 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 239093148 is about 15462.6371618815. The cubic root of 239093148 is about 620.6627910387.

The spelling of 239093148 in words is "two hundred thirty-nine million, ninety-three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 149 196 294 298 447 588 596 894 1043 1788 2086 2729 3129 4172 5458 6258 7301 8187 10916 12516 14602 16374 19103 21903 29204 32748 38206 43806 57309 76412 87612 114618 133721 229236 267442 401163 406621 534884 802326 813242 1219863 1604652 1626484 2439726 2846347 4879452 5692694 8539041 11385388 17078082 19924429 34156164 39848858 59773287 79697716 119546574 239093148