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74822272 = 277113739
BaseRepresentation
bin1000111010110…
…11001010000000
312012210100212021
410131123022000
5123123303042
611231411224
71565656510
oct435331200
9165710767
1074822272
1139265098
1221083b14
1312669745
149d19840
15687e867
hex475b280

74822272 has 64 divisors (see below), whose sum is σ = 172094400. Its totient is φ = 31739904.

The previous prime is 74822249. The next prime is 74822303. The reversal of 74822272 is 27222847.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 100879 + ... + 101617.

It is an arithmetic number, because the mean of its divisors is an integer number (2688975).

Almost surely, 274822272 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 74822272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86047200).

74822272 is an abundant number, since it is smaller than the sum of its proper divisors (97272128).

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

74822272 is a wasteful number, since it uses less digits than its factorization.

74822272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 861 counting only the distinct ones).

The product of its digits is 25088, while the sum is 34.

The square root of 74822272 is about 8649.9868207992. The cubic root of 74822272 is about 421.3829545076.

The spelling of 74822272 in words is "seventy-four million, eight hundred twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 113 128 224 226 448 452 739 791 896 904 1478 1582 1808 2956 3164 3616 5173 5912 6328 7232 10346 11824 12656 14464 20692 23648 25312 41384 47296 50624 82768 83507 94592 101248 165536 167014 331072 334028 584549 662144 668056 1169098 1336112 2338196 2672224 4676392 5344448 9352784 10688896 18705568 37411136 74822272