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5487768 = 23321113241
BaseRepresentation
bin10100111011110010011000
3101022210210200
4110323302120
52401102033
6313342200
764434216
oct24736230
911283720
105487768
113109050
121a07960
1311a1b00
14a2bcb6
15736013
hex53bc98

5487768 has 144 divisors (see below), whose sum is σ = 17985240. Its totient is φ = 1497600.

The previous prime is 5487763. The next prime is 5487773. The reversal of 5487768 is 8677845.

5487768 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5487763) and next prime (5487773).

Its product of digits (376320) is a multiple of the sum of its prime divisors (70).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5487761) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133828 + ... + 133868.

Almost surely, 25487768 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 5487768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8992620).

5487768 is an abundant number, since it is smaller than the sum of its proper divisors (12497472).

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

5487768 is a wasteful number, since it uses less digits than its factorization.

5487768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 70 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 5487768 is about 2342.5985571583. The cubic root of 5487768 is about 176.3864613917.

It can be divided in two parts, 54877 and 68, that added together give a palindrome (54945).

The spelling of 5487768 in words is "five million, four hundred eighty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 41 44 52 66 72 78 82 88 99 104 117 123 132 143 156 164 169 198 234 246 264 286 312 328 338 369 396 429 451 468 492 507 533 572 676 738 792 858 902 936 984 1014 1066 1144 1287 1352 1353 1476 1521 1599 1716 1804 1859 2028 2132 2574 2706 2952 3042 3198 3432 3608 3718 4056 4059 4264 4797 5148 5412 5577 5863 6084 6396 6929 7436 8118 9594 10296 10824 11154 11726 12168 12792 13858 14872 16236 16731 17589 19188 20787 22308 23452 27716 32472 33462 35178 38376 41574 44616 46904 52767 55432 62361 66924 70356 76219 83148 105534 124722 133848 140712 152438 166296 211068 228657 249444 304876 422136 457314 498888 609752 685971 914628 1371942 1829256 2743884 5487768