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47395152 = 2433722239
BaseRepresentation
bin1011010011001…
…1000101010000
310022011220221000
42310303011100
544113121102
64411502000
71113565200
oct264630520
9108156830
1047395152
1124831752
1213a57900
139a8588c
14641a400
15426301c
hex2d33150

47395152 has 120 divisors (see below), whose sum is σ = 158323200. Its totient is φ = 13535424.

The previous prime is 47395123. The next prime is 47395189. The reversal of 47395152 is 25159374.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 20049 + ... + 22287.

It is an arithmetic number, because the mean of its divisors is an integer number (1319360).

Almost surely, 247395152 is an apocalyptic number.

47395152 is a gapful number since it is divisible by the number (42) 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 47395152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79161600).

47395152 is an abundant number, since it is smaller than the sum of its proper divisors (110928048).

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

47395152 is a wasteful number, since it uses less digits than its factorization.

47395152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270 (or 2251 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 47395152 is about 6884.4137005267. The cubic root of 47395152 is about 361.8911590411.

The spelling of 47395152 in words is "forty-seven million, three hundred ninety-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2239 2352 2646 3024 3528 4478 5292 6717 7056 8956 10584 13434 15673 17912 20151 21168 26868 31346 35824 40302 47019 53736 60453 62692 80604 94038 107472 109711 120906 125384 141057 161208 188076 219422 241812 250768 282114 322416 329133 376152 423171 438844 483624 564228 658266 752304 846342 877688 967248 987399 1128456 1316532 1692684 1755376 1974798 2256912 2633064 2962197 3385368 3949596 5266128 5924394 6770736 7899192 11848788 15798384 23697576 47395152