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5476464 = 243371811
BaseRepresentation
bin10100111001000001110000
3101022020022000
4110321001300
52400221324
6313214000
764356240
oct24710160
911266260
105476464
113100604
121a01300
131199916
14a27b20
157329c9
hex539070

5476464 has 80 divisors (see below), whose sum is σ = 17975040. Its totient is φ = 1563840.

The previous prime is 5476459. The next prime is 5476469. The reversal of 5476464 is 4646745.

5476464 is a `hidden beast` number, since 5 + 4 + 7 + 646 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5476459) and next prime (5476469).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5476469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2119 + ... + 3929.

It is an arithmetic number, because the mean of its divisors is an integer number (224688).

Almost surely, 25476464 is an apocalyptic number.

5476464 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5476464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8987520).

5476464 is an abundant number, since it is smaller than the sum of its proper divisors (12498576).

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

5476464 is a wasteful number, since it uses less digits than its factorization.

5476464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1823 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 5476464 is about 2340.1846081025. The cubic root of 5476464 is about 176.2652680300.

The spelling of 5476464 in words is "five million, four hundred seventy-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 1811 3024 3622 5433 7244 10866 12677 14488 16299 21732 25354 28976 32598 38031 43464 48897 50708 65196 76062 86928 97794 101416 114093 130392 152124 195588 202832 228186 260784 304248 342279 391176 456372 608496 684558 782352 912744 1369116 1825488 2738232 5476464