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5326776 = 2333713271
BaseRepresentation
bin10100010100011110111000
3101000121222000
4110110132320
52330424101
6310101000
763163650
oct24243670
911017860
105326776
1130090a4
12194a760
131146750
149c9360
15703486
hex5147b8

5326776 has 128 divisors (see below), whose sum is σ = 18278400. Its totient is φ = 1399680.

The previous prime is 5326771. The next prime is 5326793. The reversal of 5326776 is 6776235.

It is a happy number.

5326776 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 self number, because there is not a number n which added to its sum of digits gives 5326776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5326771) 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 31 ways as a sum of consecutive naturals, for example, 19521 + ... + 19791.

It is an arithmetic number, because the mean of its divisors is an integer number (142800).

Almost surely, 25326776 is an apocalyptic number.

5326776 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5326776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9139200).

5326776 is an abundant number, since it is smaller than the sum of its proper divisors (12951624).

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

5326776 is a wasteful number, since it uses less digits than its factorization.

5326776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 296 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 5326776 is about 2307.9809357965. The cubic root of 5326776 is about 174.6444591025.

The spelling of 5326776 in words is "five million, three hundred twenty-six thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 271 273 312 351 364 378 468 504 542 546 702 728 756 813 819 936 1084 1092 1404 1512 1626 1638 1897 2168 2184 2439 2457 2808 3252 3276 3523 3794 4878 4914 5691 6504 6552 7046 7317 7588 9756 9828 10569 11382 14092 14634 15176 17073 19512 19656 21138 22764 24661 28184 29268 31707 34146 42276 45528 49322 51219 58536 63414 68292 73983 84552 95121 98644 102438 126828 136584 147966 190242 197288 204876 221949 253656 295932 380484 409752 443898 591864 665847 760968 887796 1331694 1775592 2663388 5326776