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4947072 = 27313991
BaseRepresentation
bin10010110111110010000000
3100022100002220
4102313302000
52231301242
6254011040
760022644
oct22676200
910270086
104947072
112879899
1217a6a80
131042980
1492ac24
1567abec
hex4b7c80

4947072 has 64 divisors (see below), whose sum is σ = 14165760. Its totient is φ = 1520640.

The previous prime is 4947043. The next prime is 4947083. The reversal of 4947072 is 2707494.

It is a tau number, because it is divible by the number of its divisors (64).

It is an alternating number because its digits alternate between even and odd.

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, 4497 + ... + 5487.

It is an arithmetic number, because the mean of its divisors is an integer number (221340).

Almost surely, 24947072 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 4947072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7082880).

4947072 is an abundant number, since it is smaller than the sum of its proper divisors (9218688).

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

4947072 is a wasteful number, since it uses less digits than its factorization.

4947072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 4947072 is about 2224.2014297271. The cubic root of 4947072 is about 170.3920823318.

The spelling of 4947072 in words is "four million, nine hundred forty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 991 1248 1664 1982 2496 2973 3964 4992 5946 7928 11892 12883 15856 23784 25766 31712 38649 47568 51532 63424 77298 95136 103064 126848 154596 190272 206128 309192 380544 412256 618384 824512 1236768 1649024 2473536 4947072