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47741034 = 23112193461
BaseRepresentation
bin1011011000011…
…1100001101010
310022211111101110
42312013201222
544210203114
64423131150
71116535455
oct266074152
9108744343
1047741034
1124a48600
1213ba3ab6
139b77143
1464aa49c
1542d0759
hex2d8786a

47741034 has 48 divisors (see below), whose sum is σ = 110507040. Its totient is φ = 13701600.

The previous prime is 47741033. The next prime is 47741041. The reversal of 47741034 is 43014774.

47741034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 47740992 and 47741010.

It is not an unprimeable number, because it can be changed into a prime (47741033) by changing a digit.

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, 12064 + ... + 15524.

It is an arithmetic number, because the mean of its divisors is an integer number (2302230).

Almost surely, 247741034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47741034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55253520).

47741034 is an abundant number, since it is smaller than the sum of its proper divisors (62766006).

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

47741034 is a wasteful number, since it uses less digits than its factorization.

47741034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3507 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 47741034 is about 6909.4886930944. The cubic root of 47741034 is about 362.7693668125.

The spelling of 47741034 in words is "forty-seven million, seven hundred forty-one thousand, thirty-four".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 121 209 242 363 418 627 726 1254 2299 3461 4598 6897 6922 10383 13794 20766 38071 65759 76142 114213 131518 197277 228426 394554 418781 723349 837562 1256343 1446698 2170047 2512686 4340094 7956839 15913678 23870517 47741034