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74919952 = 2417535197
BaseRepresentation
bin1000111011100…
…11000000010000
312012222022212001
410131303000100
5123134414302
611233443344
71566544342
oct435630020
9165868761
1074919952
1139321518
1221110554
13126a2043
149d43292
15689d787
hex4773010

74919952 has 40 divisors (see below), whose sum is σ = 156626136. Its totient is φ = 34584576.

The previous prime is 74919919. The next prime is 74919953. The reversal of 74919952 is 25991947.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26255376 + 48664576 = 5124^2 + 6976^2 .

It is a super-2 number, since 2×749199522 = 11225998415364608, which contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74919953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11818 + ... + 17014.

Almost surely, 274919952 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 74919952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78313068).

74919952 is an abundant number, since it is smaller than the sum of its proper divisors (81706184).

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

74919952 is a wasteful number, since it uses less digits than its factorization.

74919952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5275 (or 5269 counting only the distinct ones).

The product of its digits is 204120, while the sum is 46.

The square root of 74919952 is about 8655.6312305920. The cubic root of 74919952 is about 421.5662456908.

The spelling of 74919952 in words is "seventy-four million, nine hundred nineteen thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 17 34 53 68 106 136 212 272 424 848 901 1802 3604 5197 7208 10394 14416 20788 41576 83152 88349 176698 275441 353396 550882 706792 1101764 1413584 2203528 4407056 4682497 9364994 18729988 37459976 74919952