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5363928 = 2333191307
BaseRepresentation
bin10100011101100011011000
3101002111221000
4110131203120
52333121203
6310545000
763410163
oct24354330
911074830
105363928
113033aa9
121968160
13115a62b
149d8ada
1570e4a3
hex51d8d8

5363928 has 64 divisors (see below), whose sum is σ = 15696000. Its totient is φ = 1692576.

The previous prime is 5363923. The next prime is 5363933. The reversal of 5363928 is 8293635.

It is an interprime number because it is at equal distance from previous prime (5363923) and next prime (5363933).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 57 + 310 + 67 + 314 + 9 + 217 + 85 .

It is a junction number, because it is equal to n+sod(n) for n = 5363892 and 5363901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5363923) 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 15 ways as a sum of consecutive naturals, for example, 3451 + ... + 4757.

It is an arithmetic number, because the mean of its divisors is an integer number (245250).

Almost surely, 25363928 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 5363928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7848000).

5363928 is an abundant number, since it is smaller than the sum of its proper divisors (10332072).

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

5363928 is a wasteful number, since it uses less digits than its factorization.

5363928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1331 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 5363928 is about 2316.0155439893. The cubic root of 5363928 is about 175.0495424358.

The spelling of 5363928 in words is "five million, three hundred sixty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1307 1368 2052 2614 3921 4104 5228 7842 10456 11763 15684 23526 24833 31368 35289 47052 49666 70578 74499 94104 99332 141156 148998 198664 223497 282312 297996 446994 595992 670491 893988 1340982 1787976 2681964 5363928