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47675712 = 2637191867
BaseRepresentation
bin1011010111011…
…1100101000000
310022201011210010
42311313211000
544201110322
64421504520
71116144150
oct265674500
9108634703
1047675712
1124a03517
1213b72140
139b534a6
146490760
1542bb20c
hex2d77940

47675712 has 112 divisors (see below), whose sum is σ = 151831040. Its totient is φ = 12897792.

The previous prime is 47675699. The next prime is 47675729. The reversal of 47675712 is 21757674.

47675712 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 (112).

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 15 ways as a sum of consecutive naturals, for example, 24603 + ... + 26469.

Almost surely, 247675712 is an apocalyptic number.

47675712 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 47675712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75915520).

47675712 is an abundant number, since it is smaller than the sum of its proper divisors (104155328).

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

47675712 is a wasteful number, since it uses less digits than its factorization.

47675712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1898 counting only the distinct ones).

The product of its digits is 82320, while the sum is 39.

The square root of 47675712 is about 6904.7600972083. The cubic root of 47675712 is about 362.6038373954.

The spelling of 47675712 in words is "forty-seven million, six hundred seventy-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 448 456 532 608 672 798 912 1064 1216 1344 1596 1824 1867 2128 3192 3648 3734 4256 5601 6384 7468 8512 11202 12768 13069 14936 22404 25536 26138 29872 35473 39207 44808 52276 59744 70946 78414 89616 104552 106419 119488 141892 156828 179232 209104 212838 248311 283784 313656 358464 418208 425676 496622 567568 627312 744933 836416 851352 993244 1135136 1254624 1489866 1702704 1986488 2270272 2509248 2979732 3405408 3972976 5959464 6810816 7945952 11918928 15891904 23837856 47675712