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47006680 = 2357229827
BaseRepresentation
bin1011001101010…
…0001111011000
310021110012001011
42303110033120
544013203210
64355303304
71110356500
oct263241730
9107405034
1047006680
11245968a6
12138aab34
13997ab06
146358a00
1541d7d8a
hex2cd43d8

47006680 has 96 divisors (see below), whose sum is σ = 127429200. Its totient is φ = 15542016.

The previous prime is 47006647. The next prime is 47006719. The reversal of 47006680 is 8660074.

47006680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 56427 + ... + 57253.

Almost surely, 247006680 is an apocalyptic number.

47006680 is a gapful number since it is divisible by the number (40) 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 47006680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63714600).

47006680 is an abundant number, since it is smaller than the sum of its proper divisors (80422520).

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

47006680 is a wasteful number, since it uses less digits than its factorization.

47006680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 47006680 is about 6856.1417721631. The cubic root of 47006680 is about 360.8997043374.

The spelling of 47006680 in words is "forty-seven million, six thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 49 56 58 70 98 116 140 145 196 203 232 245 280 290 392 406 490 580 812 827 980 1015 1160 1421 1624 1654 1960 2030 2842 3308 4060 4135 5684 5789 6616 7105 8120 8270 11368 11578 14210 16540 23156 23983 28420 28945 33080 40523 46312 47966 56840 57890 81046 95932 115780 119915 162092 167881 191864 202615 231560 239830 324184 335762 405230 479660 671524 810460 839405 959320 1175167 1343048 1620920 1678810 2350334 3357620 4700668 5875835 6715240 9401336 11751670 23503340 47006680