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74729472 = 211312163
BaseRepresentation
bin1000111010001…
…00100000000000
312012121122120020
410131010200000
5123112320342
611225413440
71565122116
oct435044000
9165548506
1074729472
11392013a4
122103a280
131263642c
149cd3ab6
1568620ec
hex4744800

74729472 has 48 divisors (see below), whose sum is σ = 199246320. Its totient is φ = 24907776.

The previous prime is 74729471. The next prime is 74729509. The reversal of 74729472 is 27492747.

It is a tau number, because it is divible by the number of its divisors (48).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (74729471) 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 3 ways as a sum of consecutive naturals, for example, 63 + ... + 12225.

It is an arithmetic number, because the mean of its divisors is an integer number (4150965).

Almost surely, 274729472 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 74729472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99623160).

74729472 is an abundant number, since it is smaller than the sum of its proper divisors (124516848).

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

74729472 is a wasteful number, since it uses less digits than its factorization.

74729472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12188 (or 12168 counting only the distinct ones).

The product of its digits is 197568, while the sum is 42.

The square root of 74729472 is about 8644.6209864863. The cubic root of 74729472 is about 421.2086725505.

The spelling of 74729472 in words is "seventy-four million, seven hundred twenty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 12163 24326 36489 48652 72978 97304 145956 194608 291912 389216 583824 778432 1167648 1556864 2335296 3113728 4670592 6227456 9341184 12454912 18682368 24909824 37364736 74729472