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4349952 = 2133259
BaseRepresentation
bin10000100110000000000000
322012000000100
4100212000000
52103144302
6233122400
751655035
oct20460000
98160010
104349952
112501202
121559400
13b93c49
1481338c
155add1c
hex426000

4349952 has 84 divisors (see below), whose sum is σ = 12778740. Its totient is φ = 1425408.

The previous prime is 4349927. The next prime is 4349959. The reversal of 4349952 is 2599434.

4349952 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4349959) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73699 + ... + 73757.

Almost surely, 24349952 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 4349952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6389370).

4349952 is an abundant number, since it is smaller than the sum of its proper divisors (8428788).

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

4349952 is an equidigital number, since it uses as much as digits as its factorization.

4349952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 64 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 4349952 is about 2085.6538543104. The cubic root of 4349952 is about 163.2405896734.

The spelling of 4349952 in words is "four million, three hundred forty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 128 144 177 192 236 256 288 354 384 472 512 531 576 708 768 944 1024 1062 1152 1416 1536 1888 2048 2124 2304 2832 3072 3776 4096 4248 4608 5664 6144 7552 8192 8496 9216 11328 12288 15104 16992 18432 22656 24576 30208 33984 36864 45312 60416 67968 73728 90624 120832 135936 181248 241664 271872 362496 483328 543744 724992 1087488 1449984 2174976 4349952