Search a number
-
+
4125000 = 2335611
BaseRepresentation
bin1111101111000101001000
321202120102210
433233011020
52024000000
6224225120
750030145
oct17570510
97676383
104125000
1123681a0
12146b1a0
13b15739
147953cc
15567350
hex3ef148

4125000 has 112 divisors (see below), whose sum is σ = 14062320. Its totient is φ = 1000000.

The previous prime is 4124993. The next prime is 4125013. The reversal of 4125000 is 5214.

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 374995 + ... + 375005.

Almost surely, 24125000 is an apocalyptic number.

4125000 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 4125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7031160).

4125000 is an abundant number, since it is smaller than the sum of its proper divisors (9937320).

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

4125000 is an equidigital number, since it uses as much as digits as its factorization.

4125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 4125000 is about 2031.0096011590. The cubic root of 4125000 is about 160.3767164998.

The spelling of 4125000 in words is "four million, one hundred twenty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 625 660 750 825 1000 1100 1250 1320 1375 1500 1650 1875 2200 2500 2750 3000 3125 3300 3750 4125 5000 5500 6250 6600 6875 7500 8250 9375 11000 12500 13750 15000 15625 16500 18750 20625 25000 27500 31250 33000 34375 37500 41250 46875 55000 62500 68750 75000 82500 93750 103125 125000 137500 165000 171875 187500 206250 275000 343750 375000 412500 515625 687500 825000 1031250 1375000 2062500 4125000