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4025000 = 2355723
BaseRepresentation
bin1111010110101010101000
321120111021002
433112222220
52012300000
6222134132
746132460
oct17265250
97514232
104025000
1122aa051
121421348
13aac075
1476aba0
155478d5
hex3d6aa8

4025000 has 96 divisors (see below), whose sum is σ = 11249280. Its totient is φ = 1320000.

The previous prime is 4024981. The next prime is 4025003. The reversal of 4025000 is 5204.

It is a sliding number, since 4025000 = 25000 + 4000000 and 1/25000 + 1/4000000 = 0.00004025000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4025003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174989 + ... + 175011.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

Almost surely, 24025000 is an apocalyptic number.

4025000 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 4025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640).

4025000 is an abundant number, since it is smaller than the sum of its proper divisors (7224280).

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

4025000 is an equidigital number, since it uses as much as digits as its factorization.

4025000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 4025000 is about 2006.2402647739. The cubic root of 4025000 is about 159.0701271555.

It can be divided in two parts, 40 and 25000, that multiplied together give a 6-th power (1000000 = 106).

The spelling of 4025000 in words is "four million, twenty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 23 25 28 35 40 46 50 56 70 92 100 115 125 140 161 175 184 200 230 250 280 322 350 460 500 575 625 644 700 805 875 920 1000 1150 1250 1288 1400 1610 1750 2300 2500 2875 3125 3220 3500 4025 4375 4600 5000 5750 6250 6440 7000 8050 8750 11500 12500 14375 16100 17500 20125 21875 23000 25000 28750 32200 35000 40250 43750 57500 71875 80500 87500 100625 115000 143750 161000 175000 201250 287500 402500 503125 575000 805000 1006250 2012500 4025000