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149889528 = 23342389113
BaseRepresentation
bin10001110111100…
…10000111111000
3101110001011210000
420323302013320
5301332431103
622512353000
73500016465
oct1073620770
9343034700
10149889528
1177677248
1242245760
1325090839
1415c9a66c
15d25baa3
hex8ef21f8

149889528 has 160 divisors (see below), whose sum is σ = 446925600. Its totient is φ = 46835712.

The previous prime is 149889491. The next prime is 149889569. The reversal of 149889528 is 825988941.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1326400 + ... + 1326512.

It is an arithmetic number, because the mean of its divisors is an integer number (2793285).

Almost surely, 2149889528 is an apocalyptic number.

149889528 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 149889528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223462800).

149889528 is an abundant number, since it is smaller than the sum of its proper divisors (297036072).

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

149889528 is a wasteful number, since it uses less digits than its factorization.

149889528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 230 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The square root of 149889528 is about 12242.9378827143. The cubic root of 149889528 is about 531.1988147594.

The spelling of 149889528 in words is "one hundred forty-nine million, eight hundred eighty-nine thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 89 92 108 113 138 162 178 184 207 216 226 267 276 324 339 356 414 452 534 552 621 648 678 712 801 828 904 1017 1068 1242 1356 1602 1656 1863 2034 2047 2136 2403 2484 2599 2712 3051 3204 3726 4068 4094 4806 4968 5198 6102 6141 6408 7209 7452 7797 8136 8188 9153 9612 10057 10396 12204 12282 14418 14904 15594 16376 18306 18423 19224 20114 20792 23391 24408 24564 28836 30171 31188 36612 36846 40228 46782 49128 55269 57672 60342 62376 70173 73224 73692 80456 90513 93564 110538 120684 140346 147384 165807 181026 187128 210519 221076 231311 241368 271539 280692 331614 362052 421038 442152 462622 543078 561384 663228 693933 724104 814617 842076 925244 1086156 1326456 1387866 1629234 1684152 1850488 2081799 2172312 2775732 3258468 4163598 5551464 6245397 6516936 8327196 12490794 16654392 18736191 24981588 37472382 49963176 74944764 149889528