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47085090 = 23513237251
BaseRepresentation
bin1011001110011…
…1011000100010
310021121011121020
42303213120202
544023210330
64401110310
71111134213
oct263473042
9107534536
1047085090
112463a7a8
1213928396
1399a7700
14637940a
154201210
hex2ce7622

47085090 has 96 divisors (see below), whose sum is σ = 126173376. Its totient is φ = 11232000.

The previous prime is 47085079. The next prime is 47085109. The reversal of 47085090 is 9058074.

47085090 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 47 ways as a sum of consecutive naturals, for example, 187465 + ... + 187715.

It is an arithmetic number, because the mean of its divisors is an integer number (1314306).

Almost surely, 247085090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47085090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63086688).

47085090 is an abundant number, since it is smaller than the sum of its proper divisors (79088286).

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

47085090 is a wasteful number, since it uses less digits than its factorization.

47085090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 47085090 is about 6861.8576202075. The cubic root of 47085090 is about 361.1002604147.

The spelling of 47085090 in words is "forty-seven million, eighty-five thousand, ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 37 39 65 74 78 111 130 169 185 195 222 251 338 370 390 481 502 507 555 753 845 962 1014 1110 1255 1443 1506 1690 2405 2510 2535 2886 3263 3765 4810 5070 6253 6526 7215 7530 9287 9789 12506 14430 16315 18574 18759 19578 27861 31265 32630 37518 42419 46435 48945 55722 62530 84838 92870 93795 97890 120731 127257 139305 187590 212095 241462 254514 278610 362193 424190 603655 636285 724386 1207310 1272570 1569503 1810965 3139006 3621930 4708509 7847515 9417018 15695030 23542545 47085090