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4275072 = 27331237
BaseRepresentation
bin10000010011101110000000
322001012022000
4100103232000
52043300242
6231344000
751223524
oct20235600
98035260
104275072
11245aa1a
121522000
13b68b39
147d3d84
15596a4c
hex413b80

4275072 has 64 divisors (see below), whose sum is σ = 12627600. Its totient is φ = 1423872.

The previous prime is 4275059. The next prime is 4275083. The reversal of 4275072 is 2705724.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2838 + ... + 4074.

Almost surely, 24275072 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 4275072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6313800).

4275072 is an abundant number, since it is smaller than the sum of its proper divisors (8352528).

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

4275072 is a wasteful number, since it uses less digits than its factorization.

4275072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 4275072 is about 2067.6247241702. The cubic root of 4275072 is about 162.2984894677.

The spelling of 4275072 in words is "four million, two hundred seventy-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1237 1728 2474 3456 3711 4948 7422 9896 11133 14844 19792 22266 29688 33399 39584 44532 59376 66798 79168 89064 118752 133596 158336 178128 237504 267192 356256 475008 534384 712512 1068768 1425024 2137536 4275072