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4930272 = 2532171953
BaseRepresentation
bin10010110011101011100000
3100021111001200
4102303223200
52230232042
6253401200
756622654
oct22635340
910244050
104930272
112868206
121799200
131038129
14924a64
15675c4c
hex4b3ae0

4930272 has 144 divisors (see below), whose sum is σ = 15921360. Its totient is φ = 1437696.

The previous prime is 4930243. The next prime is 4930273. The reversal of 4930272 is 2720394.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4930273) 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, 92998 + ... + 93050.

It is an arithmetic number, because the mean of its divisors is an integer number (110565).

Almost surely, 24930272 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 4930272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7960680).

4930272 is an abundant number, since it is smaller than the sum of its proper divisors (10991088).

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

4930272 is a wasteful number, since it uses less digits than its factorization.

4930272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 4930272 is about 2220.4215815921. The cubic root of 4930272 is about 170.1989826889.

The spelling of 4930272 in words is "four million, nine hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 24 32 34 36 38 48 51 53 57 68 72 76 96 102 106 114 136 144 152 153 159 171 204 212 228 272 288 304 306 318 323 342 408 424 456 477 544 608 612 636 646 684 816 848 901 912 954 969 1007 1224 1272 1292 1368 1632 1696 1802 1824 1908 1938 2014 2448 2544 2584 2703 2736 2907 3021 3604 3816 3876 4028 4896 5088 5168 5406 5472 5814 6042 7208 7632 7752 8056 8109 9063 10336 10812 11628 12084 14416 15264 15504 16112 16218 17119 18126 21624 23256 24168 28832 31008 32224 32436 34238 36252 43248 46512 48336 51357 64872 68476 72504 86496 93024 96672 102714 129744 136952 145008 154071 205428 259488 273904 290016 308142 410856 547808 616284 821712 1232568 1643424 2465136 4930272