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5237748 = 2232292173
BaseRepresentation
bin10011111110101111110100
3100212002211200
4103332233310
52320101443
6304132500
762343255
oct23765764
910762750
105237748
112a5821a
121907130
131115079
149a4b2c
156d6dd3
hex4febf4

5237748 has 54 divisors (see below), whose sum is σ = 13791414. Its totient is φ = 1675968.

The previous prime is 5237747. The next prime is 5237753. The reversal of 5237748 is 8477325.

5237748 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1954404 + 3283344 = 1398^2 + 1812^2 .

It is a super-2 number, since 2×52377482 = 54868008223008, which contains 22 as substring.

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 (5237747) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 30190 + ... + 30362.

Almost surely, 25237748 is an apocalyptic number.

5237748 is a gapful number since it is divisible by the number (58) 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 5237748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6895707).

5237748 is an abundant number, since it is smaller than the sum of its proper divisors (8553666).

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

5237748 is a wasteful number, since it uses less digits than its factorization.

5237748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 207 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 5237748 is about 2288.6126802061. The cubic root of 5237748 is about 173.6660260504. Note that the first 3 decimals are identical.

It can be divided in two parts, 52377 and 48, that added together give a palindrome (52425).

The spelling of 5237748 in words is "five million, two hundred thirty-seven thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 173 174 261 346 348 519 522 692 841 1038 1044 1557 1682 2076 2523 3114 3364 5017 5046 6228 7569 10034 10092 15051 15138 20068 30102 30276 45153 60204 90306 145493 180612 290986 436479 581972 872958 1309437 1745916 2618874 5237748