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4295872 = 26743223
BaseRepresentation
bin10000011000110011000000
322002020211101
4100120303000
52044431442
6232024144
751341260
oct20306300
98066741
104295872
112474609
121532054
13b75449
147db7a0
1559ccb7
hex418cc0

4295872 has 56 divisors (see below), whose sum is σ = 10013696. Its totient is φ = 1790208.

The previous prime is 4295861. The next prime is 4295897. The reversal of 4295872 is 2785924.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

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, 19153 + ... + 19375.

It is an arithmetic number, because the mean of its divisors is an integer number (178816).

Almost surely, 24295872 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 4295872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5006848).

4295872 is an abundant number, since it is smaller than the sum of its proper divisors (5717824).

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

4295872 is a wasteful number, since it uses less digits than its factorization.

4295872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 275 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The square root of 4295872 is about 2072.6485471493. The cubic root of 4295872 is about 162.5612802408.

The spelling of 4295872 in words is "four million, two hundred ninety-five thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 172 223 224 301 344 446 448 602 688 892 1204 1376 1561 1784 2408 2752 3122 3568 4816 6244 7136 9589 9632 12488 14272 19178 19264 24976 38356 49952 67123 76712 99904 134246 153424 268492 306848 536984 613696 1073968 2147936 4295872