Search a number
-
+
47104148 = 22713151857
BaseRepresentation
bin1011001110110…
…0000010010100
310021122010202002
42303230002110
544024313043
64401334432
71111243610
oct263540224
9107563662
1047104148
1124653053
1213937418
1399b32a0
146382340
154206bb8
hex2cec094

47104148 has 48 divisors (see below), whose sum is σ = 102246144. Its totient is φ = 18489600.

The previous prime is 47104147. The next prime is 47104151. The reversal of 47104148 is 84140174.

It is a self number, because there is not a number n which added to its sum of digits gives 47104148.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47104147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54536 + ... + 55392.

It is an arithmetic number, because the mean of its divisors is an integer number (2130128).

Almost surely, 247104148 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 47104148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51123072).

47104148 is an abundant number, since it is smaller than the sum of its proper divisors (55141996).

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

47104148 is a wasteful number, since it uses less digits than its factorization.

47104148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 47104148 is about 6863.2461707271. The cubic root of 47104148 is about 361.1489730785.

The spelling of 47104148 in words is "forty-seven million, one hundred four thousand, one hundred forty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 151 182 302 364 604 857 1057 1714 1963 2114 3428 3926 4228 5999 7852 11141 11998 13741 22282 23996 27482 44564 54964 77987 129407 155974 258814 311948 517628 905849 1682291 1811698 3364582 3623396 6729164 11776037 23552074 47104148