Search a number
-
+
144904650 = 235211531657
BaseRepresentation
bin10001010001100…
…01000111001010
3101002122220210220
420220301013022
5244043422100
622213450510
73406445352
oct1050610712
9332586726
10144904650
1174882010
1240640a36
13240368c7
141535db62
15cac4aa0
hex8a311ca

144904650 has 96 divisors (see below), whose sum is σ = 399670848. Its totient is φ = 34444800.

The previous prime is 144904609. The next prime is 144904657. The reversal of 144904650 is 56409441.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (144904657) 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 47 ways as a sum of consecutive naturals, for example, 86622 + ... + 88278.

It is an arithmetic number, because the mean of its divisors is an integer number (4163238).

Almost surely, 2144904650 is an apocalyptic number.

144904650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144904650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199835424).

144904650 is an abundant number, since it is smaller than the sum of its proper divisors (254766198).

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

144904650 is a wasteful number, since it uses less digits than its factorization.

144904650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 144904650 is about 12037.6347344485. The cubic root of 144904650 is about 525.2436057676.

The spelling of 144904650 in words is "one hundred forty-four million, nine hundred four thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 53 55 66 75 106 110 150 159 165 265 275 318 330 530 550 583 795 825 1166 1325 1590 1650 1657 1749 2650 2915 3314 3498 3975 4971 5830 7950 8285 8745 9942 14575 16570 17490 18227 24855 29150 36454 41425 43725 49710 54681 82850 87450 87821 91135 109362 124275 175642 182270 248550 263463 273405 439105 455675 526926 546810 878210 911350 966031 1317315 1367025 1932062 2195525 2634630 2734050 2898093 4391050 4830155 5796186 6586575 9660310 13173150 14490465 24150775 28980930 48301550 72452325 144904650