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147648512 = 2121129113
BaseRepresentation
bin10001100110011…
…11000000000000
3101021211022200102
420303033000000
5300244223022
622352341532
73441664064
oct1063170000
9337738612
10147648512
1176386570
12415448a8
13247877ab
1415875aa4
15ce67a92
hex8ccf000

147648512 has 104 divisors (see below), whose sum is σ = 336158640. Its totient is φ = 64225280.

The previous prime is 147648511. The next prime is 147648533. The reversal of 147648512 is 215846741.

147648512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147648511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1306568 + ... + 1306680.

Almost surely, 2147648512 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 147648512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168079320).

147648512 is an abundant number, since it is smaller than the sum of its proper divisors (188510128).

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

147648512 is a wasteful number, since it uses less digits than its factorization.

147648512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 155 counting only the distinct ones).

The product of its digits is 53760, while the sum is 38.

The square root of 147648512 is about 12151.0704055240. The cubic root of 147648512 is about 528.5381718128.

The spelling of 147648512 in words is "one hundred forty-seven million, six hundred forty-eight thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 113 116 128 176 226 232 256 319 352 452 464 512 638 704 904 928 1024 1243 1276 1408 1808 1856 2048 2486 2552 2816 3277 3616 3712 4096 4972 5104 5632 6554 7232 7424 9944 10208 11264 13108 14464 14848 19888 20416 22528 26216 28928 29696 36047 39776 40832 45056 52432 57856 59392 72094 79552 81664 104864 115712 118784 144188 159104 163328 209728 231424 288376 318208 326656 419456 462848 576752 636416 653312 838912 1153504 1272832 1306624 1677824 2307008 2545664 3355648 4614016 5091328 6711296 9228032 13422592 18456064 36912128 73824256 147648512