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149209944 = 233133115427
BaseRepresentation
bin10001110010011…
…00001101011000
3101101202122120020
420321030031120
5301144204234
622450030440
73461156262
oct1071141530
9341678506
10149209944
1177252704
1241b78420
1324bb3410
1415b60b32
15d175549
hex8e4c358

149209944 has 64 divisors (see below), whose sum is σ = 414704640. Its totient is φ = 44426880.

The previous prime is 149209943. The next prime is 149209981. The reversal of 149209944 is 449902941.

149209944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 149209896 and 149209905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149209943) 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, 1959 + ... + 17385.

It is an arithmetic number, because the mean of its divisors is an integer number (6479760).

Almost surely, 2149209944 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 149209944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207352320).

149209944 is an abundant number, since it is smaller than the sum of its proper divisors (265494696).

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

149209944 is a wasteful number, since it uses less digits than its factorization.

149209944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15480 (or 15476 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 149209944 is about 12215.1522299151. The cubic root of 149209944 is about 530.3947978078.

The spelling of 149209944 in words is "one hundred forty-nine million, two hundred nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 1209 1612 2418 3224 4836 9672 15427 30854 46281 61708 92562 123416 185124 200551 370248 401102 478237 601653 802204 956474 1203306 1434711 1604408 1912948 2406612 2869422 3825896 4813224 5738844 6217081 11477688 12434162 18651243 24868324 37302486 49736648 74604972 149209944