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144937828 = 22753101967
BaseRepresentation
bin10001010001110…
…01001101100100
3101002201121022201
420220321031210
5244101002303
622214304244
73406644160
oct1050711544
9332647281
10144937828
11748a4a32
1240658084
1324048a39
141536bca0
15cace81d
hex8a39364

144937828 has 48 divisors (see below), whose sum is σ = 298577664. Its totient is φ = 60278400.

The previous prime is 144937823. The next prime is 144937831. The reversal of 144937828 is 828739441.

144937828 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (144937823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149401 + ... + 150367.

It is an arithmetic number, because the mean of its divisors is an integer number (6220368).

Almost surely, 2144937828 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 144937828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149288832).

144937828 is an abundant number, since it is smaller than the sum of its proper divisors (153639836).

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

144937828 is a wasteful number, since it uses less digits than its factorization.

144937828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1130 counting only the distinct ones).

The product of its digits is 387072, while the sum is 46.

The square root of 144937828 is about 12039.0127502217. The cubic root of 144937828 is about 525.2836900633.

The spelling of 144937828 in words is "one hundred forty-four million, nine hundred thirty-seven thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 14 28 53 101 106 202 212 371 404 707 742 967 1414 1484 1934 2828 3868 5353 6769 10706 13538 21412 27076 37471 51251 74942 97667 102502 149884 195334 205004 358757 390668 683669 717514 1367338 1435028 2734676 5176351 10352702 20705404 36234457 72468914 144937828