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47029332 = 22371979373
BaseRepresentation
bin1011001101100…
…1110001010100
310021111100010010
42303121301110
544014414312
64400000220
71110512520
oct263316124
9107440103
1047029332
1124601919
1213900070
13998820c
146362d80
1541de93c
hex2cd9c54

47029332 has 96 divisors (see below), whose sum is σ = 134041600. Its totient is φ = 12534912.

The previous prime is 47029321. The next prime is 47029379. The reversal of 47029332 is 23392074.

47029332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 47029332.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125898 + ... + 126270.

Almost surely, 247029332 is an apocalyptic number.

47029332 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 47029332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67020800).

47029332 is an abundant number, since it is smaller than the sum of its proper divisors (87012268).

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

47029332 is a wasteful number, since it uses less digits than its factorization.

47029332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 47029332 is about 6857.7935227010. The cubic root of 47029332 is about 360.9576662221.

The spelling of 47029332 in words is "forty-seven million, twenty-nine thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 79 84 114 133 158 228 237 266 316 373 399 474 532 553 746 798 948 1106 1119 1492 1501 1596 1659 2212 2238 2611 3002 3318 4476 4503 5222 6004 6636 7087 7833 9006 10444 10507 14174 15666 18012 21014 21261 28348 29467 31332 31521 42028 42522 49609 58934 63042 85044 88401 99218 117868 126084 148827 176802 198436 206269 297654 353604 412538 559873 595308 618807 825076 1119746 1237614 1679619 2239492 2475228 3359238 3919111 6718476 7838222 11757333 15676444 23514666 47029332