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144648728 = 2373197859
BaseRepresentation
bin10001001111100…
…10101000011000
3101002011220202022
420213302220120
5244012224403
622204154012
73404331260
oct1047625030
9332156668
10144648728
1174717804
1240538908
1323c77283
14152d47a0
15ca73d38
hex89f2a18

144648728 has 64 divisors (see below), whose sum is σ = 323635200. Its totient is φ = 59304960.

The previous prime is 144648719. The next prime is 144648731. The reversal of 144648728 is 827846441.

It is a Cunningham number, because it is equal to 120272-1.

It is a congruent number.

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, 167963 + ... + 168821.

It is an arithmetic number, because the mean of its divisors is an integer number (5056800).

Almost surely, 2144648728 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 144648728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161817600).

144648728 is an abundant number, since it is smaller than the sum of its proper divisors (178986472).

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

144648728 is a wasteful number, since it uses less digits than its factorization.

144648728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 996 counting only the distinct ones).

The product of its digits is 344064, while the sum is 44.

The square root of 144648728 is about 12026.9999584269. Note that the first 4 decimals coincide. The cubic root of 144648728 is about 524.9342055114.

The spelling of 144648728 in words is "one hundred forty-four million, six hundred forty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 31 56 62 97 124 194 217 248 388 434 679 776 859 868 1358 1718 1736 2716 3007 3436 5432 6013 6014 6872 12026 12028 21049 24052 24056 26629 42098 48104 53258 83323 84196 106516 166646 168392 186403 213032 333292 372806 583261 666584 745612 1166522 1491224 2333044 2583013 4666088 5166026 10332052 18081091 20664104 36162182 72324364 144648728