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149485056 = 293713903
BaseRepresentation
bin10001110100011…
…11011000000000
3101102021121221120
420322033120000
5301232010211
622455552240
73463413330
oct1072173000
9342247846
10149485056
1177420376
124208b680
1324c7b6c6
1415bd30c0
15d1cbd06
hex8e8f600

149485056 has 80 divisors (see below), whose sum is σ = 455161344. Its totient is φ = 42706944.

The previous prime is 149485009. The next prime is 149485067. The reversal of 149485056 is 650584941.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 149484999 and 149485017.

It is a congruent number.

It is an unprimeable number.

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, 3801 + ... + 17703.

Almost surely, 2149485056 is an apocalyptic number.

149485056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149485056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227580672).

149485056 is an abundant number, since it is smaller than the sum of its proper divisors (305676288).

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

149485056 is an equidigital number, since it uses as much as digits as its factorization.

149485056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13931 (or 13915 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 149485056 is about 12226.4081397604. The cubic root of 149485056 is about 530.7205767755.

The spelling of 149485056 in words is "one hundred forty-nine million, four hundred eighty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 10752 13903 27806 41709 55612 83418 97321 111224 166836 194642 222448 291963 333672 389284 444896 583926 667344 778568 889792 1167852 1334688 1557136 1779584 2335704 2669376 3114272 3559168 4671408 5338752 6228544 7118336 9342816 10677504 12457088 18685632 21355008 24914176 37371264 49828352 74742528 149485056