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147913344 = 2733127337
BaseRepresentation
bin10001101000011…
…11101010000000
3101022022202222000
420310033222000
5300331211334
622402144000
73444146145
oct1064175200
9338282860
10147913344
1176547537
1241652000
132484b1b7
14159043cc
15cebb299
hex8d0fa80

147913344 has 128 divisors (see below), whose sum is σ = 441292800. Its totient is φ = 48771072.

The previous prime is 147913333. The next prime is 147913351. The reversal of 147913344 is 443319741.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 147913299 and 147913308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438744 + ... + 439080.

It is an arithmetic number, because the mean of its divisors is an integer number (3447600).

Almost surely, 2147913344 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 147913344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220646400).

147913344 is an abundant number, since it is smaller than the sum of its proper divisors (293379456).

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

147913344 is a wasteful number, since it uses less digits than its factorization.

147913344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 469 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 147913344 is about 12161.9629994504. The cubic root of 147913344 is about 528.8539899085.

The spelling of 147913344 in words is "one hundred forty-seven million, nine hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 127 128 144 192 216 254 288 337 381 384 432 508 576 674 762 864 1011 1016 1143 1152 1348 1524 1728 2022 2032 2286 2696 3033 3048 3429 3456 4044 4064 4572 5392 6066 6096 6858 8088 8128 9099 9144 10784 12132 12192 13716 16176 16256 18198 18288 21568 24264 24384 27432 32352 36396 36576 42799 43136 48528 48768 54864 64704 72792 73152 85598 97056 109728 128397 129408 145584 146304 171196 194112 219456 256794 291168 342392 385191 388224 438912 513588 582336 684784 770382 1027176 1155573 1164672 1369568 1540764 2054352 2311146 2739136 3081528 4108704 4622292 5478272 6163056 8217408 9244584 12326112 16434816 18489168 24652224 36978336 49304448 73956672 147913344