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149629000 = 2353149629
BaseRepresentation
bin10001110101100…
…10100001001000
3101102112221101211
420322302201020
5301301112000
622503022504
73464553103
oct1072624110
9342487354
10149629000
1177509534
124213aa34
1324ccc091
1415c2d73a
15d2097ba
hex8eb2848

149629000 has 32 divisors (see below), whose sum is σ = 350134200. Its totient is φ = 59851200.

The previous prime is 149628991. The next prime is 149629001. The reversal of 149629000 is 926941.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5484964 + 144144036 = 2342^2 + 12006^2 .

It is not an unprimeable number, because it can be changed into a prime (149629001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73815 + ... + 75814.

Almost surely, 2149629000 is an apocalyptic number.

149629000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149629000 is an abundant number, since it is smaller than the sum of its proper divisors (200505200).

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

149629000 is a wasteful number, since it uses less digits than its factorization.

149629000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149650 (or 149636 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 149629000 is about 12232.2933254562. The cubic root of 149629000 is about 530.8908714683.

The spelling of 149629000 in words is "one hundred forty-nine million, six hundred twenty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 149629 299258 598516 748145 1197032 1496290 2992580 3740725 5985160 7481450 14962900 18703625 29925800 37407250 74814500 149629000