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147149352 = 23337213903
BaseRepresentation
bin10001100010101…
…01001000101000
3101020212221222000
420301111020220
5300132234402
622333531000
73434514600
oct1061251050
9336787860
10147149352
1176075539
1241343a60
132464152c
1415785c00
15cdb9c1c
hex8c55228

147149352 has 96 divisors (see below), whose sum is σ = 475516800. Its totient is φ = 42039648.

The previous prime is 147149351. The next prime is 147149381. The reversal of 147149352 is 253941741.

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

It is not an unprimeable number, because it can be changed into a prime (147149351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3633 + ... + 17535.

It is an arithmetic number, because the mean of its divisors is an integer number (4953300).

Almost surely, 2147149352 is an apocalyptic number.

147149352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147149352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237758400).

147149352 is an abundant number, since it is smaller than the sum of its proper divisors (328367448).

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

147149352 is a wasteful number, since it uses less digits than its factorization.

147149352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13932 (or 13915 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 147149352 is about 12130.5132620182. The cubic root of 147149352 is about 527.9418840994.

The spelling of 147149352 in words is "one hundred forty-seven million, one hundred forty-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1323 1512 1764 2646 3528 5292 10584 13903 27806 41709 55612 83418 97321 111224 125127 166836 194642 250254 291963 333672 375381 389284 500508 583926 681247 750762 778568 875889 1001016 1167852 1362494 1501524 1751778 2043741 2335704 2627667 2724988 3003048 3503556 4087482 5255334 5449976 6131223 7007112 8174964 10510668 12262446 16349928 18393669 21021336 24524892 36787338 49049784 73574676 147149352