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149772348 = 223311273157
BaseRepresentation
bin10001110110101…
…01100000111100
3101102211020001000
420323111200330
5301320203343
622510050300
73466021035
oct1073254074
9342736030
10149772348
11775a7200
12421a9990
132504c3bb
1415c69a8c
15d236ed3
hex8ed583c

149772348 has 144 divisors (see below), whose sum is σ = 435410080. Its totient is φ = 44478720.

The previous prime is 149772341. The next prime is 149772349. The reversal of 149772348 is 843277941.

149772348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149772341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 953886 + ... + 954042.

Almost surely, 2149772348 is an apocalyptic number.

149772348 is a gapful number since it is divisible by the number (18) 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 149772348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217705040).

149772348 is an abundant number, since it is smaller than the sum of its proper divisors (285637732).

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

149772348 is a wasteful number, since it uses less digits than its factorization.

149772348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 246 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 149772348 is about 12238.1513309813. The cubic root of 149772348 is about 531.0603525516.

The spelling of 149772348 in words is "one hundred forty-nine million, seven hundred seventy-two thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 73 99 108 121 132 146 157 198 219 242 292 297 314 363 396 438 471 484 594 628 657 726 803 876 942 1089 1188 1314 1413 1452 1606 1727 1884 1971 2178 2409 2628 2826 3212 3267 3454 3942 4239 4356 4818 5181 5652 6534 6908 7227 7884 8478 8833 9636 10362 11461 13068 14454 15543 16956 17666 18997 20724 21681 22922 26499 28908 31086 34383 35332 37994 43362 45844 46629 52998 56991 62172 68766 75988 79497 86724 93258 103149 105996 113982 126071 137532 158994 170973 186516 206298 227964 238491 252142 309447 317988 341946 378213 412596 476982 504284 512919 618894 683892 756426 953964 1025838 1134639 1237788 1386781 1512852 2051676 2269278 2773562 3403917 4160343 4538556 5547124 6807834 8320686 12481029 13615668 16641372 24962058 37443087 49924116 74886174 149772348