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5382480 = 243541547
BaseRepresentation
bin10100100010000101010000
3101010110101010
4110202011100
52334214410
6311210520
763515235
oct24420520
911113333
105382480
113046a34
121976a40
131165bcc
14a0178c
15714c20
hex522150

5382480 has 80 divisors (see below), whose sum is σ = 17123904. Its totient is φ = 1397760.

The previous prime is 5382479. The next prime is 5382493. The reversal of 5382480 is 842835.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9567 + ... + 10113.

Almost surely, 25382480 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 5382480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8561952).

5382480 is an abundant number, since it is smaller than the sum of its proper divisors (11741424).

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

5382480 is a wasteful number, since it uses less digits than its factorization.

5382480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 5382480 is about 2320.0172413152. The cubic root of 5382480 is about 175.2511224637.

The spelling of 5382480 in words is "five million, three hundred eighty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 547 615 656 820 984 1094 1230 1640 1641 1968 2188 2460 2735 3280 3282 4376 4920 5470 6564 8205 8752 9840 10940 13128 16410 21880 22427 26256 32820 43760 44854 65640 67281 89708 112135 131280 134562 179416 224270 269124 336405 358832 448540 538248 672810 897080 1076496 1345620 1794160 2691240 5382480