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4947012 = 2232767293
BaseRepresentation
bin10010110111110001000100
3100022100000200
4102313301010
52231301022
6254010500
760022530
oct22676104
910270020
104947012
112879844
1217a6a30
131042935
1492abc0
1567abac
hex4b7c44

4947012 has 72 divisors (see below), whose sum is σ = 14554176. Its totient is φ = 1387584.

The previous prime is 4946989. The next prime is 4947013. The reversal of 4947012 is 2107494.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (4947013) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16738 + ... + 17030.

Almost surely, 24947012 is an apocalyptic number.

4947012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4947012 is the 1407-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4947012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7277088).

4947012 is an abundant number, since it is smaller than the sum of its proper divisors (9607164).

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

4947012 is a wasteful number, since it uses less digits than its factorization.

4947012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 4947012 is about 2224.1879416992. The cubic root of 4947012 is about 170.3913934686.

The spelling of 4947012 in words is "four million, nine hundred forty-seven thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 67 84 126 134 201 252 268 293 402 469 586 603 804 879 938 1172 1206 1407 1758 1876 2051 2412 2637 2814 3516 4102 4221 5274 5628 6153 8204 8442 10548 12306 16884 18459 19631 24612 36918 39262 58893 73836 78524 117786 137417 176679 235572 274834 353358 412251 549668 706716 824502 1236753 1649004 2473506 4947012