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147469728 = 2537317079
BaseRepresentation
bin10001100101000…
…11010110100000
3101021111020102210
420302203112200
5300223012403
622344442120
73440320620
oct1062432640
9337436383
10147469728
117627420a
1241479340
13247242c3
141582a880
15ce2eb03
hex8ca35a0

147469728 has 96 divisors (see below), whose sum is σ = 456744960. Its totient is φ = 40769280.

The previous prime is 147469703. The next prime is 147469741. The reversal of 147469728 is 827964741.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 17293 + ... + 24371.

It is an arithmetic number, because the mean of its divisors is an integer number (4757760).

Almost surely, 2147469728 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 147469728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228372480).

147469728 is an abundant number, since it is smaller than the sum of its proper divisors (309275232).

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

147469728 is a wasteful number, since it uses less digits than its factorization.

147469728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7130 (or 7122 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 147469728 is about 12143.7114590227. The cubic root of 147469728 is about 528.3247543004.

The spelling of 147469728 in words is "one hundred forty-seven million, four hundred sixty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2976 3472 5208 6944 7079 10416 14158 20832 21237 28316 42474 49553 56632 84948 99106 113264 148659 169896 198212 219449 226528 297318 339792 396424 438898 594636 658347 679584 792848 877796 1189272 1316694 1536143 1585696 1755592 2378544 2633388 3072286 3511184 4608429 4757088 5266776 6144572 7022368 9216858 10533552 12289144 18433716 21067104 24578288 36867432 49156576 73734864 147469728