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144601772 = 22729374813
BaseRepresentation
bin10001001111001…
…11001010101100
3101002002112100012
420213213022230
5244004224042
622203152352
73404044340
oct1047471254
9332075305
10144601772
11746954a7
12405156b8
1323c5baa3
14152c1620
15ca64e82
hex89e72ac

144601772 has 48 divisors (see below), whose sum is σ = 307325760. Its totient is φ = 58205952.

The previous prime is 144601747. The next prime is 144601783. The reversal of 144601772 is 277106441.

144601772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27638 + ... + 32450.

It is an arithmetic number, because the mean of its divisors is an integer number (6402620).

Almost surely, 2144601772 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 144601772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153662880).

144601772 is an abundant number, since it is smaller than the sum of its proper divisors (162723988).

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

144601772 is a wasteful number, since it uses less digits than its factorization.

144601772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4890 (or 4888 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 144601772 is about 12025.0476922131. The cubic root of 144601772 is about 524.8773978262.

The spelling of 144601772 in words is "one hundred forty-four million, six hundred one thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 14 28 29 37 58 74 116 148 203 259 406 518 812 1036 1073 2146 4292 4813 7511 9626 15022 19252 30044 33691 67382 134764 139577 178081 279154 356162 558308 712324 977039 1246567 1954078 2493134 3908156 4986268 5164349 10328698 20657396 36150443 72300886 144601772