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7666542 = 2331367163
BaseRepresentation
bin11101001111101101101110
3112102111112000
4131033231232
53430312132
6432153130
7122110302
oct35175556
915374460
107666542
114366a94
1226987a6
131785720
141037d02
15a1687c
hex74fb6e

7666542 has 64 divisors (see below), whose sum is σ = 18735360. Its totient is φ = 2309472.

The previous prime is 7666531. The next prime is 7666543. The reversal of 7666542 is 2456667.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 7666497 and 7666506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7666543) 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, 46953 + ... + 47115.

It is an arithmetic number, because the mean of its divisors is an integer number (292740).

Almost surely, 27666542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7666542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9367680).

7666542 is an abundant number, since it is smaller than the sum of its proper divisors (11068818).

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

7666542 is a wasteful number, since it uses less digits than its factorization.

7666542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 248 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 7666542 is about 2768.8521087266. The cubic root of 7666542 is about 197.1816545300.

The spelling of 7666542 in words is "seven million, six hundred sixty-six thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 67 78 117 134 163 201 234 326 351 402 489 603 702 871 978 1206 1467 1742 1809 2119 2613 2934 3618 4238 4401 5226 6357 7839 8802 10921 12714 15678 19071 21842 23517 32763 38142 47034 57213 65526 98289 114426 141973 196578 283946 294867 425919 589734 851838 1277757 2555514 3833271 7666542