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149059681 = 2924212
BaseRepresentation
bin10001110001001…
…11100001100001
3101101111000102221
420320213201201
5301124402211
622442511041
73456662221
oct1070474141
9341430387
10149059681
117715a821
1241b05481
1324b5cbc4
1415b22081
15d145c71
hex8e27861

149059681 has 9 divisors (see below), whose sum is σ = 154744473. Its totient is φ = 143577840.

The previous prime is 149059639. The next prime is 149059697. The reversal of 149059681 is 186950941.

The square root of 149059681 is 12209.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 60699681 + 88360000 = 7791^2 + 9400^2 .

It is not a de Polignac number, because 149059681 - 213 = 149051489 is a prime.

It is a super-2 number, since 2×1490596812 = 44437576999643522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (149059381) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 353851 + ... + 354271.

Almost surely, 2149059681 is an apocalyptic number.

149059681 is the 12209-th square number.

149059681 is the 6105-th centered octagonal number.

It is an amenable number.

149059681 is a deficient number, since it is larger than the sum of its proper divisors (5684792).

149059681 is an frugal number, since it uses more digits than its factorization.

149059681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 43.

The cubic root of 149059681 is about 530.2166919790.

The spelling of 149059681 in words is "one hundred forty-nine million, fifty-nine thousand, six hundred eighty-one".

Divisors: 1 29 421 841 12209 177241 354061 5139989 149059681