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74022928 = 2472263359
BaseRepresentation
bin1000110100110…
…00000000010000
312011021202100221
410122120000100
5122422213203
611202322424
71556120200
oct432300020
9164252327
1074022928
1138869581
1220959414
1312449965
149b8c400
156772abd
hex4698010

74022928 has 60 divisors (see below), whose sum is σ = 167935680. Its totient is φ = 31515456.

The previous prime is 74022911. The next prime is 74022929. The reversal of 74022928 is 82922047.

It is a super-3 number, since 3×740229283 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 74022893 and 74022902.

It is not an unprimeable number, because it can be changed into a prime (74022929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 206013 + ... + 206371.

It is an arithmetic number, because the mean of its divisors is an integer number (2798928).

Almost surely, 274022928 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 74022928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83967840).

74022928 is an abundant number, since it is smaller than the sum of its proper divisors (93912752).

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

74022928 is a wasteful number, since it uses less digits than its factorization.

74022928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 74022928 is about 8603.6578267618. The cubic root of 74022928 is about 419.8770010197.

The spelling of 74022928 in words is "seventy-four million, twenty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 263 359 392 526 718 784 1052 1436 1841 2104 2513 2872 3682 4208 5026 5744 7364 10052 12887 14728 17591 20104 25774 29456 35182 40208 51548 70364 94417 103096 140728 188834 206192 281456 377668 660919 755336 1321838 1510672 2643676 4626433 5287352 9252866 10574704 18505732 37011464 74022928