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144672648 = 233291091907
BaseRepresentation
bin10001001111110…
…00011110001000
3101002020010120020
420213320132020
5244014011043
622204500440
73404461101
oct1047703610
9332203506
10144672648
117473377a
124054a720
1323c85123
14152dd3a8
15ca7ae83
hex89f8788

144672648 has 64 divisors (see below), whose sum is σ = 377784000. Its totient is φ = 46109952.

The previous prime is 144672623. The next prime is 144672679. The reversal of 144672648 is 846276441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74911 + ... + 76817.

It is an arithmetic number, because the mean of its divisors is an integer number (5902875).

Almost surely, 2144672648 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 144672648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188892000).

144672648 is an abundant number, since it is smaller than the sum of its proper divisors (233111352).

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

144672648 is a wasteful number, since it uses less digits than its factorization.

144672648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2050 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 144672648 is about 12027.9943465234. The cubic root of 144672648 is about 524.9631393622.

The spelling of 144672648 in words is "one hundred forty-four million, six hundred seventy-two thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 109 116 174 218 232 327 348 436 654 696 872 1308 1907 2616 3161 3814 5721 6322 7628 9483 11442 12644 15256 18966 22884 25288 37932 45768 55303 75864 110606 165909 207863 221212 331818 415726 442424 623589 663636 831452 1247178 1327272 1662904 2494356 4988712 6028027 12056054 18084081 24112108 36168162 48224216 72336324 144672648