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4028000 = 25531953
BaseRepresentation
bin1111010111011001100000
321120122101012
433113121200
52012344000
6222200052
746144304
oct17273140
97518335
104028000
112301329
121423028
13ab0542
1476bd04
15548735
hex3d7660

4028000 has 96 divisors (see below), whose sum is σ = 10614240. Its totient is φ = 1497600.

The previous prime is 4027993. The next prime is 4028009. The reversal of 4028000 is 8204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4028009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75974 + ... + 76026.

It is an arithmetic number, because the mean of its divisors is an integer number (110565).

Almost surely, 24028000 is an apocalyptic number.

4028000 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 4028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5307120).

4028000 is an abundant number, since it is smaller than the sum of its proper divisors (6586240).

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

4028000 is a wasteful number, since it uses less digits than its factorization.

4028000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4028000 is about 2006.9877926883. The cubic root of 4028000 is about 159.1096378693.

The spelling of 4028000 in words is "four million, twenty-eight thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 53 76 80 95 100 106 125 152 160 190 200 212 250 265 304 380 400 424 475 500 530 608 760 800 848 950 1000 1007 1060 1325 1520 1696 1900 2000 2014 2120 2375 2650 3040 3800 4000 4028 4240 4750 5035 5300 6625 7600 8056 8480 9500 10070 10600 13250 15200 16112 19000 20140 21200 25175 26500 32224 38000 40280 42400 50350 53000 76000 80560 100700 106000 125875 161120 201400 212000 251750 402800 503500 805600 1007000 2014000 4028000