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144724672 = 2617197001
BaseRepresentation
bin10001010000001…
…01001011000000
3101002022202221001
420220011023000
5244022142142
622205541344
73405065551
oct1050051300
9332282831
10144724672
1174769874
1240574854
1323ca2a01
1415314328
15ca8b5b7
hex8a052c0

144724672 has 56 divisors (see below), whose sum is σ = 320131440. Its totient is φ = 64512000.

The previous prime is 144724663. The next prime is 144724681. The reversal of 144724672 is 276427441.

It is an interprime number because it is at equal distance from previous prime (144724663) and next prime (144724681).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17172 + ... + 24172.

Almost surely, 2144724672 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 144724672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160065720).

144724672 is an abundant number, since it is smaller than the sum of its proper divisors (175406768).

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

144724672 is a wasteful number, since it uses less digits than its factorization.

144724672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7049 (or 7039 counting only the distinct ones).

The product of its digits is 75264, while the sum is 37.

The square root of 144724672 is about 12030.1567737083. The cubic root of 144724672 is about 525.0260570589.

The spelling of 144724672 in words is "one hundred forty-four million, seven hundred twenty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 136 152 272 304 323 544 608 646 1088 1216 1292 2584 5168 7001 10336 14002 20672 28004 56008 112016 119017 133019 224032 238034 266038 448064 476068 532076 952136 1064152 1904272 2128304 2261323 3808544 4256608 4522646 7617088 8513216 9045292 18090584 36181168 72362336 144724672