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471042 = 233111361
BaseRepresentation
bin1110011000000000010
3212221011000
41303000002
5110033132
614032430
74001205
oct1630002
9787130
10471042
112a19a0
121a8716
13136530
14c393c
159487c
hex73002

471042 has 64 divisors (see below), whose sum is σ = 1249920. Its totient is φ = 129600.

The previous prime is 471041. The next prime is 471061. The reversal of 471042 is 240174.

It is a happy number.

471042 is nontrivially palindromic in base 14.

471042 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7692 + ... + 7752.

It is an arithmetic number, because the mean of its divisors is an integer number (19530).

2471042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 471042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624960).

471042 is an abundant number, since it is smaller than the sum of its proper divisors (778878).

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

471042 is a wasteful number, since it uses less digits than its factorization.

471042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 471042 is about 686.3249959021. The cubic root of 471042 is about 77.8072162184.

It can be divided in two parts, 47 and 1042, that added together give a square (1089 = 332).

The spelling of 471042 in words is "four hundred seventy-one thousand, forty-two", and thus it is an iban number.

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 61 66 78 99 117 122 143 183 198 234 286 297 351 366 429 549 594 671 702 793 858 1098 1287 1342 1586 1647 2013 2379 2574 3294 3861 4026 4758 6039 7137 7722 8723 12078 14274 17446 18117 21411 26169 36234 42822 52338 78507 157014 235521 471042