Search a number
-
+
47090076 = 22311532127
BaseRepresentation
bin1011001110100…
…0100110011100
310021121102102220
42303220212130
544023340301
64401145340
71111154565
oct263504634
9107542386
1047090076
1124643520
121392b250
1399a9a67
14637b16c
154202936
hex2ce899c

47090076 has 72 divisors (see below), whose sum is σ = 123131904. Its totient is φ = 13890240.

The previous prime is 47090063. The next prime is 47090093. The reversal of 47090076 is 67009074.

47090076 is digitally balanced in base 2 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

47090076 is strictly pandigital in base 9.

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, 370725 + ... + 370851.

Almost surely, 247090076 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 47090076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61565952).

47090076 is an abundant number, since it is smaller than the sum of its proper divisors (76041828).

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

47090076 is a wasteful number, since it uses less digits than its factorization.

47090076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 47090076 is about 6862.2209232872. The cubic root of 47090076 is about 361.1130060089.

The spelling of 47090076 in words is "forty-seven million, ninety thousand, seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 127 132 159 212 254 318 381 508 583 636 762 1166 1397 1524 1749 2332 2794 2809 3498 4191 5588 5618 6731 6996 8382 8427 11236 13462 16764 16854 20193 26924 30899 33708 40386 61798 74041 80772 92697 123596 148082 185394 222123 296164 356743 370788 444246 713486 888492 1070229 1426972 2140458 3924173 4280916 7848346 11772519 15696692 23545038 47090076