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5537484 = 2238211
BaseRepresentation
bin10101000111111011001100
3101102100000000
4111013323030
52404144414
6314404300
765032161
oct25077314
911370000
105537484
113142437
121a30690
1311bb624
14a42068
15745b09
hex547ecc

5537484 has 54 divisors (see below), whose sum is σ = 14604044. Its totient is φ = 1837080.

The previous prime is 5537479. The next prime is 5537489. The reversal of 5537484 is 4847355.

It is an interprime number because it is at equal distance from previous prime (5537479) and next prime (5537489).

It is a tau number, because it is divible by the number of its divisors (54).

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

It is a d-powerful number, because it can be written as 52 + 56 + 3 + 75 + 410 + 86 + 411 .

It is not an unprimeable number, because it can be changed into a prime (5537489) 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 17 ways as a sum of consecutive naturals, for example, 26139 + ... + 26349.

Almost surely, 25537484 is an apocalyptic number.

5537484 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 5537484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7302022).

5537484 is an abundant number, since it is smaller than the sum of its proper divisors (9066560).

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

5537484 is an equidigital number, since it uses as much as digits as its factorization.

5537484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 216 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 5537484 is about 2353.1859255061. The cubic root of 5537484 is about 176.9175139931.

The spelling of 5537484 in words is "five million, five hundred thirty-seven thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 211 243 324 422 486 633 729 844 972 1266 1458 1899 2187 2532 2916 3798 4374 5697 6561 7596 8748 11394 13122 17091 22788 26244 34182 51273 68364 102546 153819 205092 307638 461457 615276 922914 1384371 1845828 2768742 5537484