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1476 = 223241
BaseRepresentation
bin10111000100
32000200
4113010
521401
610500
74206
oct2704
92020
101476
111122
12a30
13897
14776
15686
hex5c4

1476 has 18 divisors (see below), whose sum is σ = 3822. Its totient is φ = 480.

The previous prime is 1471. The next prime is 1481. The reversal of 1476 is 6741.

It can be divided in two parts, 147 and 6, that added together give a triangular number (153 = T17).

1476 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (1471) and next prime (1481).

It can be written as a sum of positive squares in only one way, i.e., 900 + 576 = 30^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is an alternating number because its digits alternate between odd and even.

1476 is an undulating number in base 9 and base 15.

It is a plaindrome in base 11.

It is a nialpdrome in base 12 and base 14.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1471) by changing a digit.

1476 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16 + ... + 56.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911).

1476 is an abundant number, since it is smaller than the sum of its proper divisors (2346).

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

1476 is a wasteful number, since it uses less digits than its factorization.

1476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 46 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 1476 is about 38.4187454246. The cubic root of 1476 is about 11.3857624661.

The spelling of 1476 in words is "one thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476