Search a number
-
+
3125376 = 27322713
BaseRepresentation
bin1011111011000010000000
312212210012200
423323002000
51300003001
6150553200
735364612
oct13730200
95783180
103125376
111845161
121068800
13855747
145b4db2
1541b086
hex2fb080

3125376 has 48 divisors (see below), whose sum is σ = 8996910. Its totient is φ = 1041408.

The previous prime is 3125351. The next prime is 3125387. The reversal of 3125376 is 6735213.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1742400 + 1382976 = 1320^2 + 1176^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 205 + ... + 2508.

Almost surely, 23125376 is an apocalyptic number.

3125376 is a gapful number since it is divisible by the number (36) 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 3125376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4498455).

3125376 is an abundant number, since it is smaller than the sum of its proper divisors (5871534).

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

3125376 is a wasteful number, since it uses less digits than its factorization.

3125376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733 (or 2718 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 3125376 is about 1767.8732986275. The cubic root of 3125376 is about 146.2067503057.

It can be divided in two parts, 31253 and 76, that added together give a square (31329 = 1772).

The spelling of 3125376 in words is "three million, one hundred twenty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2713 5426 8139 10852 16278 21704 24417 32556 43408 48834 65112 86816 97668 130224 173632 195336 260448 347264 390672 520896 781344 1041792 1562688 3125376