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5467968 = 263211863
BaseRepresentation
bin10100110110111101000000
3101021210122100
4110312331000
52344433333
6313110400
764322412
oct24667500
911253570
105467968
1130a5190
1219b8400
131195aac
14a249b2
15730213
hex536f40

5467968 has 84 divisors (see below), whose sum is σ = 17117568. Its totient is φ = 1655040.

The previous prime is 5467939. The next prime is 5467993. The reversal of 5467968 is 8697645.

It is a congruent number.

It is an unprimeable number.

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, 5905 + ... + 6767.

Almost surely, 25467968 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 5467968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8558784).

5467968 is an abundant number, since it is smaller than the sum of its proper divisors (11649600).

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

5467968 is a wasteful number, since it uses less digits than its factorization.

5467968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 879 counting only the distinct ones).

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

The square root of 5467968 is about 2338.3686621232. The cubic root of 5467968 is about 176.1740702059.

The spelling of 5467968 in words is "five million, four hundred sixty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 863 1056 1584 1726 2112 2589 3168 3452 5178 6336 6904 7767 9493 10356 13808 15534 18986 20712 27616 28479 31068 37972 41424 55232 56958 62136 75944 82848 85437 113916 124272 151888 165696 170874 227832 248544 303776 341748 455664 497088 607552 683496 911328 1366992 1822656 2733984 5467968