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149762561 = 1325091741
BaseRepresentation
bin10001110110100…
…11001000000001
3101102210201121112
420323103020001
5301314400221
622505533105
73465650354
oct1073231001
9342721545
10149762561
117759a913
12421a4195
1325047b00
1415c6629b
15d23415b
hex8ed3201

149762561 has 12 divisors (see below), whose sum is σ = 162580860. Its totient is φ = 137891520.

The previous prime is 149762551. The next prime is 149762573. The reversal of 149762561 is 165267941.

It can be written as a sum of positive squares in 6 ways, for example, as 47348161 + 102414400 = 6881^2 + 10120^2 .

It is not a de Polignac number, because 149762561 - 210 = 149761537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (149762521) 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 11 ways as a sum of consecutive naturals, for example, 85151 + ... + 86891.

It is an arithmetic number, because the mean of its divisors is an integer number (13548405).

Almost surely, 2149762561 is an apocalyptic number.

It is an amenable number.

149762561 is a deficient number, since it is larger than the sum of its proper divisors (12818299).

149762561 is a wasteful number, since it uses less digits than its factorization.

149762561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2263 counting only the distinct ones).

The product of its digits is 90720, while the sum is 41.

The square root of 149762561 is about 12237.7514683050. The cubic root of 149762561 is about 531.0487847712.

The spelling of 149762561 in words is "one hundred forty-nine million, seven hundred sixty-two thousand, five hundred sixty-one".

Divisors: 1 13 169 509 1741 6617 22633 86021 294229 886169 11520197 149762561