Search a number
-
+
149941504 = 28896581
BaseRepresentation
bin10001110111111…
…10110100000000
3101110010211002001
420323332310000
5301341112004
622513433344
73500324146
oct1073766400
9343124061
10149941504
11777022a9
124226b854
13250ab3ab
1415cb1596
15d26c1a4
hex8efed00

149941504 has 36 divisors (see below), whose sum is σ = 302706180. Its totient is φ = 74117120.

The previous prime is 149941487. The next prime is 149941523. The reversal of 149941504 is 405149941.

149941504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 32262400 + 117679104 = 5680^2 + 10848^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19494 + ... + 26074.

It is an arithmetic number, because the mean of its divisors is an integer number (8408505).

Almost surely, 2149941504 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 149941504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151353090).

149941504 is an abundant number, since it is smaller than the sum of its proper divisors (152764676).

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

149941504 is an frugal number, since it uses more digits than its factorization.

149941504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6686 (or 6672 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 149941504 is about 12245.0603918478. The cubic root of 149941504 is about 531.2602075271.

The spelling of 149941504 in words is "one hundred forty-nine million, nine hundred forty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 356 712 1424 2848 5696 6581 11392 13162 22784 26324 52648 105296 210592 421184 585709 842368 1171418 1684736 2342836 4685672 9371344 18742688 37485376 74970752 149941504