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47913696 = 2532435373
BaseRepresentation
bin1011011011000…
…1101011100000
310100011021020100
42312301223200
544231214241
64430542400
71121155035
oct266615340
9110137210
1047913696
11250562a6
1214067a00
139c078cc
14651338c
1543169b6
hex2db1ae0

47913696 has 144 divisors (see below), whose sum is σ = 143999856. Its totient is φ = 15095808.

The previous prime is 47913673. The next prime is 47913703. The reversal of 47913696 is 69631974.

47913696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 656316 + ... + 656388.

It is an arithmetic number, because the mean of its divisors is an integer number (999999).

Almost surely, 247913696 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 47913696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71999928).

47913696 is an abundant number, since it is smaller than the sum of its proper divisors (96086160).

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

47913696 is a wasteful number, since it uses less digits than its factorization.

47913696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 174 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 47913696 is about 6921.9719733613. The cubic root of 47913696 is about 363.2061757054.

The spelling of 47913696 in words is "forty-seven million, nine hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 53 72 73 86 96 106 129 144 146 159 172 212 219 258 288 292 318 344 387 424 438 477 516 584 636 657 688 774 848 876 954 1032 1168 1272 1314 1376 1548 1696 1752 1908 2064 2279 2336 2544 2628 3096 3139 3504 3816 3869 4128 4558 5088 5256 6192 6278 6837 7008 7632 7738 9116 9417 10512 11607 12384 12556 13674 15264 15476 18232 18834 20511 21024 23214 25112 27348 28251 30952 34821 36464 37668 41022 46428 50224 54696 56502 61904 69642 72928 75336 82044 92856 100448 109392 113004 123808 139284 150672 164088 166367 185712 218784 226008 278568 301344 328176 332734 371424 452016 499101 557136 656352 665468 904032 998202 1114272 1330936 1497303 1996404 2661872 2994606 3992808 5323744 5989212 7985616 11978424 15971232 23956848 47913696