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149057244 = 223273311787
BaseRepresentation
bin10001110001001…
…10111011011100
3101101110220002200
420320212323130
5301124312434
622442451500
73456652140
oct1070467334
9341426080
10149057244
1177158a06
1241b03b90
1324b5ba6b
1415b21220
15d145199
hex8e26edc

149057244 has 72 divisors (see below), whose sum is σ = 432152448. Its totient is φ = 42435360.

The previous prime is 149057243. The next prime is 149057267. The reversal of 149057244 is 442750941.

It is a happy number.

149057244 is a `hidden beast` number, since 1 + 49 + 0 + 572 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 149057199 and 149057208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149057243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82519 + ... + 84305.

Almost surely, 2149057244 is an apocalyptic number.

149057244 is a gapful number since it is divisible by the number (14) 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 149057244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216076224).

149057244 is an abundant number, since it is smaller than the sum of its proper divisors (283095204).

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

149057244 is a wasteful number, since it uses less digits than its factorization.

149057244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 149057244 is about 12208.9001961684. The cubic root of 149057244 is about 530.2138024314.

The spelling of 149057244 in words is "one hundred forty-nine million, fifty-seven thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 331 662 993 1324 1787 1986 2317 2979 3574 3972 4634 5361 5958 6951 7148 9268 10722 11916 12509 13902 16083 20853 21444 25018 27804 32166 37527 41706 50036 64332 75054 83412 112581 150108 225162 450324 591497 1182994 1774491 2365988 3548982 4140479 5323473 7097964 8280958 10646946 12421437 16561916 21293892 24842874 37264311 49685748 74528622 149057244