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5468976 = 2432163233
BaseRepresentation
bin10100110111001100110000
3101021212000200
4110313030300
52400001401
6313115200
764325352
oct24671460
911255020
105468976
1130a5a17
1219b8b00
1311963a6
14a250d2
15730686
hex537330

5468976 has 60 divisors (see below), whose sum is σ = 15465528. Its totient is φ = 1804032.

The previous prime is 5468971. The next prime is 5468977. The reversal of 5468976 is 6798645.

It is not an unprimeable number, because it can be changed into a prime (5468971) 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 11 ways as a sum of consecutive naturals, for example, 23356 + ... + 23588.

Almost surely, 25468976 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 5468976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7732764).

5468976 is an abundant number, since it is smaller than the sum of its proper divisors (9996552).

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

5468976 is a wasteful number, since it uses less digits than its factorization.

5468976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 401 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 5468976 is about 2338.5841870670. The cubic root of 5468976 is about 176.1848952236.

The spelling of 5468976 in words is "five million, four hundred sixty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 163 233 326 466 489 652 699 932 978 1304 1398 1467 1864 1956 2097 2608 2796 2934 3728 3912 4194 5592 5868 7824 8388 11184 11736 16776 23472 33552 37979 75958 113937 151916 227874 303832 341811 455748 607664 683622 911496 1367244 1822992 2734488 5468976