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149942208 = 2631324621
BaseRepresentation
bin10001110111111…
…10111111000000
3101110010212001010
420323332333000
5301341122313
622513440520
73500326203
oct1073767700
9343125033
10149942208
1177702889
1242270140
13250ab800
1415cb193a
15d26c4c3
hex8efefc0

149942208 has 84 divisors (see below), whose sum is σ = 429679608. Its totient is φ = 46126080.

The previous prime is 149942201. The next prime is 149942213. The reversal of 149942208 is 802249941.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149942201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30138 + ... + 34758.

Almost surely, 2149942208 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 149942208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214839804).

149942208 is an abundant number, since it is smaller than the sum of its proper divisors (279737400).

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

149942208 is a wasteful number, since it uses less digits than its factorization.

149942208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4662 (or 4639 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 149942208 is about 12245.0891380994. The cubic root of 149942208 is about 531.2610389771.

The spelling of 149942208 in words is "one hundred forty-nine million, nine hundred forty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 169 192 208 312 338 416 507 624 676 832 1014 1248 1352 2028 2496 2704 4056 4621 5408 8112 9242 10816 13863 16224 18484 27726 32448 36968 55452 60073 73936 110904 120146 147872 180219 221808 240292 295744 360438 443616 480584 720876 780949 887232 961168 1441752 1561898 1922336 2342847 2883504 3123796 3844672 4685694 5767008 6247592 9371388 11534016 12495184 18742776 24990368 37485552 49980736 74971104 149942208