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149217744 = 243132337281
BaseRepresentation
bin10001110010011…
…10000111010000
3101101210001021010
420321032013100
5301144431434
622450130520
73461221104
oct1071160720
9341701233
10149217744
1177258555
1241b80a40
1324bb6b30
1415b63904
15d1779e9
hex8e4e1d0

149217744 has 160 divisors (see below), whose sum is σ = 446471424. Its totient is φ = 42577920.

The previous prime is 149217727. The next prime is 149217763. The reversal of 149217744 is 447712941.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 530884 + ... + 531164.

Almost surely, 2149217744 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 149217744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223235712).

149217744 is an abundant number, since it is smaller than the sum of its proper divisors (297253680).

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

149217744 is a wasteful number, since it uses less digits than its factorization.

149217744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 359 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 149217744 is about 12215.4715013380. The cubic root of 149217744 is about 530.4040398356.

The spelling of 149217744 in words is "one hundred forty-nine million, two hundred seventeen thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 37 39 46 48 52 69 74 78 92 104 111 138 148 156 184 208 222 276 281 296 299 312 368 444 481 552 562 592 598 624 843 851 888 897 962 1104 1124 1196 1443 1686 1702 1776 1794 1924 2248 2392 2553 2886 3372 3404 3588 3653 3848 4496 4784 5106 5772 6463 6744 6808 7176 7306 7696 10212 10397 10959 11063 11544 12926 13488 13616 14352 14612 19389 20424 20794 21918 22126 23088 25852 29224 31191 33189 38778 40848 41588 43836 44252 51704 58448 62382 66378 77556 83176 84019 87672 88504 103408 124764 132756 135161 155112 166352 168038 175344 177008 239131 249528 252057 265512 270322 310224 336076 405483 478262 499056 504114 531024 540644 672152 717393 810966 956524 1008228 1081288 1344304 1434786 1621932 1913048 2016456 2162576 2869572 3108703 3243864 3826096 4032912 5739144 6217406 6487728 9326109 11478288 12434812 18652218 24869624 37304436 49739248 74608872 149217744