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4867072 = 2107297
BaseRepresentation
bin10010100100010000000000
3100011021100221
4102210100000
52221221242
6252152424
756240500
oct22442000
910137327
104867072
112824781
121768714
131015432
14909a00
15662167
hex4a4400

4867072 has 66 divisors (see below), whose sum is σ = 11434542. Its totient is φ = 2064384.

The previous prime is 4867067. The next prime is 4867073. The reversal of 4867072 is 2707684.

It can be written as a sum of positive squares in only one way, i.e., 4064256 + 802816 = 2016^2 + 896^2 .

It is not an unprimeable number, because it can be changed into a prime (4867073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50128 + ... + 50224.

Almost surely, 24867072 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 4867072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5717271).

4867072 is an abundant number, since it is smaller than the sum of its proper divisors (6567470).

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

4867072 is an equidigital number, since it uses as much as digits as its factorization.

4867072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 4867072 is about 2206.1441476023. The cubic root of 4867072 is about 169.4686059567.

The spelling of 4867072 in words is "four million, eight hundred sixty-seven thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 97 98 112 128 194 196 224 256 388 392 448 512 679 776 784 896 1024 1358 1552 1568 1792 2716 3104 3136 3584 4753 5432 6208 6272 7168 9506 10864 12416 12544 19012 21728 24832 25088 38024 43456 49664 50176 76048 86912 99328 152096 173824 304192 347648 608384 695296 1216768 2433536 4867072