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149210048 = 2613372131
BaseRepresentation
bin10001110010011…
…00001111000000
3101101202122201002
420321030033000
5301144210143
622450031132
73461156501
oct1071141700
9341678632
10149210048
1177252799
1241b784a8
1324bb3490
1415b60ba8
15d1755b8
hex8e4c3c0

149210048 has 84 divisors (see below), whose sum is σ = 330217272. Its totient is φ = 66493440.

The previous prime is 149209981. The next prime is 149210053. The reversal of 149210048 is 840012941.

149210048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 149210048.

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 11 ways as a sum of consecutive naturals, for example, 1138943 + ... + 1139073.

It is an arithmetic number, because the mean of its divisors is an integer number (3931158).

Almost surely, 2149210048 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 149210048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165108636).

149210048 is an abundant number, since it is smaller than the sum of its proper divisors (181007224).

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

149210048 is a wasteful number, since it uses less digits than its factorization.

149210048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 149210048 is about 12215.1564869223. The cubic root of 149210048 is about 530.3949210369.

Adding to 149210048 its reverse (840012941), we get a palindrome (989222989).

The spelling of 149210048 in words is "one hundred forty-nine million, two hundred ten thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 131 148 208 262 296 416 481 524 592 832 962 1048 1184 1369 1703 1924 2096 2368 2738 3406 3848 4192 4847 5476 6812 7696 8384 9694 10952 13624 15392 17797 19388 21904 27248 30784 35594 38776 43808 54496 63011 71188 77552 87616 108992 126022 142376 155104 179339 252044 284752 310208 358678 504088 569504 717356 1008176 1139008 1434712 2016352 2331407 2869424 4032704 4662814 5738848 9325628 11477696 18651256 37302512 74605024 149210048