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4947280 = 245136771
BaseRepresentation
bin10010110111110101010000
3100022100101121
4102313311100
52231303110
6254012024
760023362
oct22676520
910270347
104947280
112879a68
1217a7014
131042ab0
1492ad32
1567acda
hex4b7d50

4947280 has 80 divisors (see below), whose sum is σ = 12749184. Its totient is φ = 1774080.

The previous prime is 4947269. The next prime is 4947287. The reversal of 4947280 is 827494.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×49472803 (a number of 21 digits) contains 333 as substring.

It is a d-powerful number, because it can be written as 43 + 97 + 43 + 73 + 217 + 85 + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4947287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69645 + ... + 69715.

Almost surely, 24947280 is an apocalyptic number.

4947280 is a gapful number since it is divisible by the number (40) 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 4947280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374592).

4947280 is an abundant number, since it is smaller than the sum of its proper divisors (7801904).

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

4947280 is a wasteful number, since it uses less digits than its factorization.

4947280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 4947280 is about 2224.2481875906. The cubic root of 4947280 is about 170.3944703474.

The spelling of 4947280 in words is "four million, nine hundred forty-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 67 71 80 104 130 134 142 208 260 268 284 335 355 520 536 568 670 710 871 923 1040 1072 1136 1340 1420 1742 1846 2680 2840 3484 3692 4355 4615 4757 5360 5680 6968 7384 8710 9230 9514 13936 14768 17420 18460 19028 23785 34840 36920 38056 47570 61841 69680 73840 76112 95140 123682 190280 247364 309205 380560 494728 618410 989456 1236820 2473640 4947280