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149838 = 231317113
BaseRepresentation
bin100100100101001110
321121112120
4210211032
514243323
63113410
71162563
oct444516
9247476
10149838
11a2637
1272866
1353280
143c86a
152e5e3
hex2494e

149838 has 32 divisors (see below), whose sum is σ = 344736. Its totient is φ = 43008.

The previous prime is 149837. The next prime is 149839. The reversal of 149838 is 838941.

It is an interprime number because it is at equal distance from previous prime (149837) and next prime (149839).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 149799 and 149808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1270 + ... + 1382.

It is an arithmetic number, because the mean of its divisors is an integer number (10773).

2149838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172368).

149838 is an abundant number, since it is smaller than the sum of its proper divisors (194898).

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

149838 is a wasteful number, since it uses less digits than its factorization.

149838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148.

The product of its digits is 6912, while the sum is 33.

The square root of 149838 is about 387.0891370214. The cubic root of 149838 is about 53.1137937147.

The spelling of 149838 in words is "one hundred forty-nine thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 113 221 226 339 442 663 678 1326 1469 1921 2938 3842 4407 5763 8814 11526 24973 49946 74919 149838