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4947648 = 26373353
BaseRepresentation
bin10010110111111011000000
3100022100220020
4102313323000
52231311043
6254013440
760024426
oct22677300
910270806
104947648
11287a272
1217a7280
131043004
1492b116
1567ae83
hex4b7ec0

4947648 has 56 divisors (see below), whose sum is σ = 13307568. Its totient is φ = 1622016.

The previous prime is 4947617. The next prime is 4947653. The reversal of 4947648 is 8467494.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13840 + ... + 14192.

Almost surely, 24947648 is an apocalyptic number.

4947648 is a gapful number since it is divisible by the number (48) 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 4947648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6653784).

4947648 is an abundant number, since it is smaller than the sum of its proper divisors (8359920).

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

4947648 is a wasteful number, since it uses less digits than its factorization.

4947648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 431 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 4947648 is about 2224.3309106336. The cubic root of 4947648 is about 170.3986951343.

The spelling of 4947648 in words is "four million, nine hundred forty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 146 192 219 292 353 438 584 706 876 1059 1168 1412 1752 2118 2336 2824 3504 4236 4672 5648 7008 8472 11296 14016 16944 22592 25769 33888 51538 67776 77307 103076 154614 206152 309228 412304 618456 824608 1236912 1649216 2473824 4947648