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74425000 = 235513229
BaseRepresentation
bin1000110111110…
…10001010101000
312012001011220111
410123322022220
5123023100000
611215104104
71562413336
oct433721250
9165034814
1074425000
1139013671
1220b12034
131255a980
149c54b56
156801cba
hex46fa2a8

74425000 has 96 divisors (see below), whose sum is σ = 188659800. Its totient is φ = 27360000.

The previous prime is 74424989. The next prime is 74425003. The reversal of 74425000 is 52447.

It can be written as a sum of positive squares in 12 ways, for example, as 29615364 + 44809636 = 5442^2 + 6694^2 .

It is not an unprimeable number, because it can be changed into a prime (74425003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324886 + ... + 325114.

Almost surely, 274425000 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 74425000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94329900).

74425000 is an abundant number, since it is smaller than the sum of its proper divisors (114234800).

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

74425000 is a wasteful number, since it uses less digits than its factorization.

74425000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 74425000 is about 8626.9925234696. The cubic root of 74425000 is about 420.6358471710.

Adding to 74425000 its reverse (52447), we get a palindrome (74477447).

It can be divided in two parts, 7442 and 5000, that multiplied together give a square (37210000 = 61002).

The spelling of 74425000 in words is "seventy-four million, four hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 229 250 260 325 458 500 520 625 650 916 1000 1145 1250 1300 1625 1832 2290 2500 2600 2977 3125 3250 4580 5000 5725 5954 6250 6500 8125 9160 11450 11908 12500 13000 14885 16250 22900 23816 25000 28625 29770 32500 40625 45800 57250 59540 65000 74425 81250 114500 119080 143125 148850 162500 229000 286250 297700 325000 372125 572500 595400 715625 744250 1145000 1431250 1488500 1860625 2862500 2977000 3721250 5725000 7442500 9303125 14885000 18606250 37212500 74425000