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5332635 = 36571119
BaseRepresentation
bin10100010101111010011011
3101000221000000
4110111322123
52331121020
6310144043
763220020
oct24257233
911027000
105332635
113012540
121952023
131149309
149cb547
15705090
hex515e9b

5332635 has 112 divisors (see below), whose sum is σ = 12591360. Its totient is φ = 2099520.

The previous prime is 5332633. The next prime is 5332643. The reversal of 5332635 is 5362335.

It is not a de Polignac number, because 5332635 - 21 = 5332633 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an Ulam number.

Its product of digits (8100) is a multiple of the sum of its prime divisors (45).

It is a junction number, because it is equal to n+sod(n) for n = 5332599 and 5332608.

It is not an unprimeable number, because it can be changed into a prime (5332633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 280656 + ... + 280674.

Almost surely, 25332635 is an apocalyptic number.

5332635 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5332635 is the 1155-th decagonal number.

5332635 is an abundant number, since it is smaller than the sum of its proper divisors (7258725).

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

5332635 is a wasteful number, since it uses less digits than its factorization.

5332635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 45 counting only the distinct ones).

The product of its digits is 8100, while the sum is 27.

The square root of 5332635 is about 2309.2498782072. The cubic root of 5332635 is about 174.7084669849.

It can be divided in two parts, 53326 and 35, that added together give a square (53361 = 2312).

The spelling of 5332635 in words is "five million, three hundred thirty-two thousand, six hundred thirty-five".

Divisors: 1 3 5 7 9 11 15 19 21 27 33 35 45 55 57 63 77 81 95 99 105 133 135 165 171 189 209 231 243 285 297 315 385 399 405 495 513 567 627 665 693 729 855 891 945 1045 1155 1197 1215 1463 1485 1539 1701 1881 1995 2079 2565 2673 2835 3135 3465 3591 3645 4389 4455 4617 5103 5643 5985 6237 7315 7695 8019 8505 9405 10395 10773 13167 13365 13851 16929 17955 18711 21945 23085 25515 28215 31185 32319 39501 40095 50787 53865 56133 65835 69255 84645 93555 96957 118503 152361 161595 197505 253935 280665 355509 484785 592515 761805 1066527 1777545 5332635