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5435928 = 2332103733
BaseRepresentation
bin10100101111001000011000
3101020011200200
4110233020120
52342422203
6312302200
764130121
oct24571030
911204620
105435928
113083103
1219a1960
131184334
14a17048
157259a3
hex52f218

5435928 has 48 divisors (see below), whose sum is σ = 14885520. Its totient is φ = 1791936.

The previous prime is 5435909. The next prime is 5435953. The reversal of 5435928 is 8295345.

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

It is a junction number, because it is equal to n+sod(n) for n = 5435892 and 5435901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7050 + ... + 7782.

It is an arithmetic number, because the mean of its divisors is an integer number (310115).

Almost surely, 25435928 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 5435928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7442760).

5435928 is an abundant number, since it is smaller than the sum of its proper divisors (9449592).

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

5435928 is a wasteful number, since it uses less digits than its factorization.

5435928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 841 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 5435928 is about 2331.5076667255. The cubic root of 5435928 is about 175.8292938484.

The spelling of 5435928 in words is "five million, four hundred thirty-five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 206 309 412 618 733 824 927 1236 1466 1854 2199 2472 2932 3708 4398 5864 6597 7416 8796 13194 17592 26388 52776 75499 150998 226497 301996 452994 603992 679491 905988 1358982 1811976 2717964 5435928