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4275760 = 245192997
BaseRepresentation
bin10000010011111000110000
322001020020111
4100103320300
52043311020
6231351104
751225526
oct20237060
98036214
104275760
112460495
121522494
13b69248
147d4316
15596d5a
hex413e30

4275760 has 80 divisors (see below), whose sum is σ = 10936800. Its totient is φ = 1548288.

The previous prime is 4275751. The next prime is 4275781. The reversal of 4275760 is 675724.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44032 + ... + 44128.

It is an arithmetic number, because the mean of its divisors is an integer number (136710).

Almost surely, 24275760 is an apocalyptic number.

4275760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4275760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5468400).

4275760 is an abundant number, since it is smaller than the sum of its proper divisors (6661040).

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

4275760 is a wasteful number, since it uses less digits than its factorization.

4275760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 4275760 is about 2067.7910919626. The cubic root of 4275760 is about 162.3071953929.

The spelling of 4275760 in words is "four million, two hundred seventy-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 29 38 40 58 76 80 95 97 116 145 152 190 194 232 290 304 380 388 464 485 551 580 760 776 970 1102 1160 1520 1552 1843 1940 2204 2320 2755 2813 3686 3880 4408 5510 5626 7372 7760 8816 9215 11020 11252 14065 14744 18430 22040 22504 28130 29488 36860 44080 45008 53447 56260 73720 106894 112520 147440 213788 225040 267235 427576 534470 855152 1068940 2137880 4275760