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3875360 = 25553457
BaseRepresentation
bin1110110010001000100000
321021212222212
432302020200
51443002420
6215021252
744640266
oct16621040
97255885
103875360
112207685
12136a828
13a58c18
1472c436
155183c5
hex3b2220

3875360 has 48 divisors (see below), whose sum is σ = 9348696. Its totient is φ = 1517568.

The previous prime is 3875359. The next prime is 3875363. The reversal of 3875360 is 635783.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3794704 + 80656 = 1948^2 + 284^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (3875363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8252 + ... + 8708.

Almost surely, 23875360 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 3875360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4674348).

3875360 is an abundant number, since it is smaller than the sum of its proper divisors (5473336).

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

3875360 is a wasteful number, since it uses less digits than its factorization.

3875360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 3875360 is about 1968.5934064707. The cubic root of 3875360 is about 157.0738965422.

The spelling of 3875360 in words is "three million, eight hundred seventy-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 457 530 848 914 1060 1696 1828 2120 2285 3656 4240 4570 7312 8480 9140 14624 18280 24221 36560 48442 73120 96884 121105 193768 242210 387536 484420 775072 968840 1937680 3875360