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7442000 = 2453612
BaseRepresentation
bin11100011000111001010000
3112000002111122
4130120321100
53401121000
6423301412
7120153536
oct34307120
915002448
107442000
114223315
1225aa868
131707467
14dba156
159c0085
hex718e50

7442000 has 60 divisors (see below), whose sum is σ = 18294588. Its totient is φ = 2928000.

The previous prime is 7441999. The next prime is 7442023. The reversal of 7442000 is 2447.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 6512704 + 929296 = 2552^2 + 964^2 .

It is an Ulam number.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 7442000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121970 + ... + 122030.

Almost surely, 27442000 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 7442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9147294).

7442000 is an abundant number, since it is smaller than the sum of its proper divisors (10852588).

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

7442000 is an equidigital number, since it uses as much as digits as its factorization.

7442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 7442000 is about 2728.0029325497. The cubic root of 7442000 is about 195.2374927982.

Adding to 7442000 its reverse (2447), we get a palindrome (7444447).

It can be divided in two parts, 744 and 2000, that added together give a cube (2744 = 143).

The spelling of 7442000 in words is "seven million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 125 200 244 250 305 400 488 500 610 976 1000 1220 1525 2000 2440 3050 3721 4880 6100 7442 7625 12200 14884 15250 18605 24400 29768 30500 37210 59536 61000 74420 93025 122000 148840 186050 297680 372100 465125 744200 930250 1488400 1860500 3721000 7442000