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144870852 = 2237361577
BaseRepresentation
bin10001010001010…
…00110111000100
3101002121012110010
420220220313010
5244041331402
622213030220
73406245000
oct1050506704
9332535403
10144870852
1174859685
1240625370
13240243c9
1415351700
15cab9a6c
hex8a28dc4

144870852 has 96 divisors (see below), whose sum is σ = 401363200. Its totient is φ = 40642560.

The previous prime is 144870851. The next prime is 144870857. The reversal of 144870852 is 258078441.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 144870852.

It is not an unprimeable number, because it can be changed into a prime (144870851) 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 31 ways as a sum of consecutive naturals, for example, 250788 + ... + 251364.

Almost surely, 2144870852 is an apocalyptic number.

144870852 is a gapful number since it is divisible by the number (12) 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 144870852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200681600).

144870852 is an abundant number, since it is smaller than the sum of its proper divisors (256492348).

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

144870852 is a wasteful number, since it uses less digits than its factorization.

144870852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 144870852 is about 12036.2308053643. The cubic root of 144870852 is about 525.2027661218.

The spelling of 144870852 in words is "one hundred forty-four million, eight hundred seventy thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 61 84 98 122 147 183 196 244 294 343 366 427 577 588 686 732 854 1029 1154 1281 1372 1708 1731 2058 2308 2562 2989 3462 4039 4116 5124 5978 6924 8078 8967 11956 12117 16156 17934 20923 24234 28273 35197 35868 41846 48468 56546 62769 70394 83692 84819 105591 113092 125538 140788 169638 197911 211182 246379 251076 339276 395822 422364 492758 593733 739137 791644 985516 1187466 1478274 1724653 2374932 2956548 3449306 5173959 6898612 10347918 12072571 20695836 24145142 36217713 48290284 72435426 144870852