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74024028 = 2232132233
BaseRepresentation
bin1000110100110…
…00010001011100
312011021210212200
410122120101130
5122422232103
611202331500
71556123331
oct432302134
9164253780
1074024028
113886a391
1220959b90
131244a300
149b8c988
1567730a3
hex469845c

74024028 has 108 divisors (see below), whose sum is σ = 211826160. Its totient is φ = 21786336.

The previous prime is 74024023. The next prime is 74024029. The reversal of 74024028 is 82042047.

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.

74024028 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

74024028 is a nontrivial binomial coefficient, being equal to C(12168, 2).

74024028 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 74023992 and 74024010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74024023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3218425 + ... + 3218447.

Almost surely, 274024028 is an apocalyptic number.

74024028 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

74024028 is the 12167-th triangular number and also the 6084-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74024028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105913080).

74024028 is an abundant number, since it is smaller than the sum of its proper divisors (137802132).

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

74024028 is a wasteful number, since it uses less digits than its factorization.

74024028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 74024028 is about 8603.7217528230. The cubic root of 74024028 is about 419.8790808366.

The spelling of 74024028 in words is "seventy-four million, twenty-four thousand, twenty-eight".