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144745728 = 283296797
BaseRepresentation
bin10001010000010…
…10010100000000
3101002100211210220
420220022110000
5244023330403
622210223040
73405214131
oct1050122400
9332324726
10144745728
1174783676
1240584a80
1323cac47a
141531bc88
15ca92953
hex8a0a500

144745728 has 144 divisors (see below), whose sum is σ = 408636480. Its totient is φ = 45416448.

The previous prime is 144745673. The next prime is 144745729. The reversal of 144745728 is 827547441.

It is a self number, because there is not a number n which added to its sum of digits gives 144745728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144745729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1492176 + ... + 1492272.

Almost surely, 2144745728 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 144745728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204318240).

144745728 is an abundant number, since it is smaller than the sum of its proper divisors (263890752).

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

144745728 is an equidigital number, since it uses as much as digits as its factorization.

144745728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 198 counting only the distinct ones).

The product of its digits is 250880, while the sum is 42.

The square root of 144745728 is about 12031.0318759448. The cubic root of 144745728 is about 525.0515178469.

It can be divided in two parts, 14474 and 5728, that added together give a palindrome (20202).

The spelling of 144745728 in words is "one hundred forty-four million, seven hundred forty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 67 87 96 97 116 128 134 174 192 194 201 232 256 268 291 348 384 388 402 464 536 582 696 768 776 804 928 1072 1164 1392 1552 1608 1856 1943 2144 2328 2784 2813 3104 3216 3712 3886 4288 4656 5568 5626 5829 6208 6432 6499 7424 7772 8439 8576 9312 11136 11252 11658 12416 12864 12998 15544 16878 17152 18624 19497 22272 22504 23316 24832 25728 25996 31088 33756 37248 38994 45008 46632 51456 51992 62176 67512 74496 77988 90016 93264 103984 124352 135024 155976 180032 186528 188471 207968 248704 270048 311952 360064 373056 376942 415936 497408 540096 565413 623904 720128 746112 753884 831872 1080192 1130826 1247808 1492224 1507768 1663744 2160384 2261652 2495616 3015536 4523304 4991232 6031072 9046608 12062144 18093216 24124288 36186432 48248576 72372864 144745728