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3725800 = 2352131433
BaseRepresentation
bin1110001101100111101000
321000021211121
432031213220
51423211200
6211505024
743445251
oct16154750
97007747
103725800
112115281
1212b8174
13a05b20
146cdb28
154d8e1a
hex38d9e8

3725800 has 48 divisors (see below), whose sum is σ = 9335340. Its totient is φ = 1374720.

The previous prime is 3725783. The next prime is 3725809. The reversal of 3725800 is 85273.

It can be written as a sum of positive squares in 6 ways, for example, as 1285956 + 2439844 = 1134^2 + 1562^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3725809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1884 + ... + 3316.

Almost surely, 23725800 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 3725800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4667670).

3725800 is an abundant number, since it is smaller than the sum of its proper divisors (5609540).

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

3725800 is a wasteful number, since it uses less digits than its factorization.

3725800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 3725800 is about 1930.2331465396. The cubic root of 3725800 is about 155.0267036892.

The spelling of 3725800 in words is "three million, seven hundred twenty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 1433 2600 2866 5732 7165 11464 14330 18629 28660 35825 37258 57320 71650 74516 93145 143300 149032 186290 286600 372580 465725 745160 931450 1862900 3725800