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149605008 = 24373153271
BaseRepresentation
bin10001110101011…
…00101010010000
3101102111201111020
420322230222100
5301244330013
622502315440
73464423130
oct1072545220
9342451436
10149605008
11774a2503
1242128b80
1324cc1197
1415c24ac0
15d202623
hex8eaca90

149605008 has 160 divisors (see below), whose sum is σ = 466255872. Its totient is φ = 40435200.

The previous prime is 149604991. The next prime is 149605019. The reversal of 149605008 is 800506941.

It is a self number, because there is not a number n which added to its sum of digits gives 149605008.

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, 551913 + ... + 552183.

Almost surely, 2149605008 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 149605008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233127936).

149605008 is an abundant number, since it is smaller than the sum of its proper divisors (316650864).

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

149605008 is a wasteful number, since it uses less digits than its factorization.

149605008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 149605008 is about 12231.3126033145. The cubic root of 149605008 is about 530.8624950292.

The spelling of 149605008 in words is "one hundred forty-nine million, six hundred five thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 53 56 62 84 93 106 112 124 159 168 186 212 217 248 271 318 336 371 372 424 434 496 542 636 651 742 744 813 848 868 1084 1113 1272 1302 1484 1488 1626 1643 1736 1897 2168 2226 2544 2604 2968 3252 3286 3472 3794 4336 4452 4929 5208 5691 5936 6504 6572 7588 8401 8904 9858 10416 11382 11501 13008 13144 14363 15176 16802 17808 19716 22764 23002 25203 26288 28726 30352 33604 34503 39432 43089 45528 46004 50406 57452 58807 67208 69006 78864 86178 91056 92008 100541 100812 114904 117614 134416 138012 172356 176421 184016 201082 201624 229808 235228 276024 301623 344712 352842 402164 403248 445253 470456 552048 603246 689424 705684 804328 890506 940912 1206492 1335759 1411368 1608656 1781012 2412984 2671518 2822736 3116771 3562024 4825968 5343036 6233542 7124048 9350313 10686072 12467084 18700626 21372144 24934168 37401252 49868336 74802504 149605008