Search a number
-
+
4611072 = 21031979
BaseRepresentation
bin10001100101110000000000
322200021012110
4101211300000
52140023242
6242455320
754123234
oct21456000
98607173
104611072
11266a404
121664540
13c55a5b
148805c4
1561139c
hex465c00

4611072 has 88 divisors (see below), whose sum is σ = 13100800. Its totient is φ = 1437696.

The previous prime is 4611071. The next prime is 4611077. The reversal of 4611072 is 2701164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4611071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58329 + ... + 58407.

Almost surely, 24611072 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 4611072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6550400).

4611072 is an abundant number, since it is smaller than the sum of its proper divisors (8489728).

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

4611072 is a wasteful number, since it uses less digits than its factorization.

4611072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 4611072 is about 2147.3406809354. The cubic root of 4611072 is about 166.4436768975.

The spelling of 4611072 in words is "four million, six hundred eleven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 79 96 114 128 152 158 192 228 237 256 304 316 384 456 474 512 608 632 768 912 948 1024 1216 1264 1501 1536 1824 1896 2432 2528 3002 3072 3648 3792 4503 4864 5056 6004 7296 7584 9006 9728 10112 12008 14592 15168 18012 19456 20224 24016 29184 30336 36024 40448 48032 58368 60672 72048 80896 96064 121344 144096 192128 242688 288192 384256 576384 768512 1152768 1537024 2305536 4611072