Search a number
-
+
149988048 = 2437509877
BaseRepresentation
bin10001111000010…
…10001011010000
3101110020011220220
420330022023100
5301344104143
622514433040
73500606640
oct1074121320
9343204826
10149988048
1177734271
1242292780
13250c6632
1415cc4520
15d27ad83
hex8f0a2d0

149988048 has 80 divisors (see below), whose sum is σ = 444197760. Its totient is φ = 42720768.

The previous prime is 149988043. The next prime is 149988049. The reversal of 149988048 is 840889941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149988043) 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 15 ways as a sum of consecutive naturals, for example, 170586 + ... + 171462.

It is an arithmetic number, because the mean of its divisors is an integer number (5552472).

Almost surely, 2149988048 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 149988048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222098880).

149988048 is an abundant number, since it is smaller than the sum of its proper divisors (294209712).

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

149988048 is a wasteful number, since it uses less digits than its factorization.

149988048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 51.

The square root of 149988048 is about 12246.9607658390. The cubic root of 149988048 is about 531.3151721107.

The spelling of 149988048 in words is "one hundred forty-nine million, nine hundred eighty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 509 877 1018 1527 1754 2036 2631 3054 3508 3563 4072 5262 6108 6139 7016 7126 8144 10524 10689 12216 12278 14032 14252 18417 21048 21378 24432 24556 28504 36834 42096 42756 49112 57008 73668 85512 98224 147336 171024 294672 446393 892786 1339179 1785572 2678358 3124751 3571144 5356716 6249502 7142288 9374253 10713432 12499004 18748506 21426864 24998008 37497012 49996016 74994024 149988048