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5435748 = 223419883
BaseRepresentation
bin10100101111000101100100
3101020011110000
4110233011210
52342420443
6312301300
764126443
oct24570544
911204400
105435748
113082a5a
1219a1830
131184226
14a16d5a
157258d3
hex52f164

5435748 has 60 divisors (see below), whose sum is σ = 14974960. Its totient is φ = 1714608.

The previous prime is 5435747. The next prime is 5435791. The reversal of 5435748 is 8475345.

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 + 410 + 311 + 56 + 7 + 411 + 82 .

It is not an unprimeable number, because it can be changed into a prime (5435741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5715 + ... + 6597.

Almost surely, 25435748 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 5435748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7487480).

5435748 is an abundant number, since it is smaller than the sum of its proper divisors (9539212).

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

5435748 is a wasteful number, since it uses less digits than its factorization.

5435748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 907 counting only the distinct ones).

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

The square root of 5435748 is about 2331.4690647744. The cubic root of 5435748 is about 175.8273530806.

The spelling of 5435748 in words is "five million, four hundred thirty-five thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 883 1026 1539 1766 2052 2649 3078 3532 5298 6156 7947 10596 15894 16777 23841 31788 33554 47682 50331 67108 71523 95364 100662 143046 150993 201324 286092 301986 452979 603972 905958 1358937 1811916 2717874 5435748