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5333148 = 22331923113
BaseRepresentation
bin10100010110000010011100
3101000221201000
4110112002130
52331130043
6310150300
763221352
oct24260234
911027630
105333148
113012967
121952390
131149612
149cb7d2
157052d3
hex51609c

5333148 has 96 divisors (see below), whose sum is σ = 15321600. Its totient is φ = 1596672.

The previous prime is 5333131. The next prime is 5333149. The reversal of 5333148 is 8413335.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (4320) is a multiple of the sum of its prime divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5333149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47140 + ... + 47252.

It is an arithmetic number, because the mean of its divisors is an integer number (159600).

Almost surely, 25333148 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 5333148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7660800).

5333148 is an abundant number, since it is smaller than the sum of its proper divisors (9988452).

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

5333148 is a wasteful number, since it uses less digits than its factorization.

5333148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 5333148 is about 2309.3609505662. The cubic root of 5333148 is about 174.7140691291.

The spelling of 5333148 in words is "five million, three hundred thirty-three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 23 27 36 38 46 54 57 69 76 92 108 113 114 138 171 207 226 228 276 339 342 414 437 452 513 621 678 684 828 874 1017 1026 1242 1311 1356 1748 2034 2052 2147 2484 2599 2622 3051 3933 4068 4294 5198 5244 6102 6441 7797 7866 8588 10396 11799 12204 12882 15594 15732 19323 23391 23598 25764 31188 38646 46782 47196 49381 57969 70173 77292 93564 98762 115938 140346 148143 197524 231876 280692 296286 444429 592572 888858 1333287 1777716 2666574 5333148