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149294544 = 24371759443
BaseRepresentation
bin10001110011000…
…00110111010000
3101101220221121120
420321200313100
5301204411134
622451522240
73461661030
oct1071406720
9341827546
10149294544
1177300223
1241bb9380
1324c12a89
1415b838c0
15d190649
hex8e60dd0

149294544 has 160 divisors (see below), whose sum is σ = 475683840. Its totient is φ = 39376896.

The previous prime is 149294501. The next prime is 149294569. The reversal of 149294544 is 445492941.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 149294496 and 149294505.

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, 336787 + ... + 337229.

It is an arithmetic number, because the mean of its divisors is an integer number (2973024).

Almost surely, 2149294544 is an apocalyptic number.

149294544 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 149294544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237841920).

149294544 is an abundant number, since it is smaller than the sum of its proper divisors (326389296).

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

149294544 is a wasteful number, since it uses less digits than its factorization.

149294544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 531 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 149294544 is about 12218.6146514243. The cubic root of 149294544 is about 530.4950210701.

The spelling of 149294544 in words is "one hundred forty-nine million, two hundred ninety-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 59 68 84 102 112 118 119 136 168 177 204 236 238 272 336 354 357 408 413 443 472 476 708 714 816 826 886 944 952 1003 1239 1329 1416 1428 1652 1772 1904 2006 2478 2658 2832 2856 3009 3101 3304 3544 4012 4956 5316 5712 6018 6202 6608 7021 7088 7531 8024 9303 9912 10632 12036 12404 14042 15062 16048 18606 19824 21063 21264 22593 24072 24808 26137 28084 30124 37212 42126 45186 48144 49616 52274 52717 56168 60248 74424 78411 84252 90372 104548 105434 112336 120496 148848 156822 158151 168504 180744 182959 209096 210868 313644 316302 337008 361488 365918 418192 421736 444329 548877 627288 632604 731836 843472 888658 1097754 1254576 1265208 1332987 1463672 1777316 2195508 2530416 2665974 2927344 3110303 3554632 4391016 5331948 6220606 7109264 8782032 9330909 10663896 12441212 18661818 21327792 24882424 37323636 49764848 74647272 149294544