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4947306 = 2371321741
BaseRepresentation
bin10010110111110101101010
3100022100102120
4102313311222
52231303211
6254012110
760023430
oct22676552
910270376
104947306
112879a91
1217a7036
131042b00
1492ad50
1567ad06
hex4b7d6a

4947306 has 96 divisors (see below), whose sum is σ = 13281408. Its totient is φ = 1198080.

The previous prime is 4947301. The next prime is 4947311. The reversal of 4947306 is 6037494.

It is an interprime number because it is at equal distance from previous prime (4947301) and next prime (4947311).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4947301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120646 + ... + 120686.

It is an arithmetic number, because the mean of its divisors is an integer number (138348).

Almost surely, 24947306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4947306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6640704).

4947306 is an abundant number, since it is smaller than the sum of its proper divisors (8334102).

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

4947306 is a wasteful number, since it uses less digits than its factorization.

4947306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 4947306 is about 2224.2540322544. The cubic root of 4947306 is about 170.3947688447.

It can be divided in two parts, 4947 and 306, that added together give a triangular number (5253 = T102).

The spelling of 4947306 in words is "four million, nine hundred forty-seven thousand, three hundred six".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 41 42 51 78 82 91 102 119 123 169 182 221 238 246 273 287 338 357 442 507 533 546 574 663 697 714 861 1014 1066 1183 1326 1394 1547 1599 1722 2091 2366 2873 3094 3198 3549 3731 4182 4641 4879 5746 6929 7098 7462 8619 9061 9282 9758 11193 13858 14637 17238 18122 20111 20787 22386 27183 29274 40222 41574 48503 54366 60333 63427 97006 117793 120666 126854 145509 190281 235586 291018 353379 380562 706758 824551 1649102 2473653 4947306