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74971152 = 2432520633
BaseRepresentation
bin1000111011111…
…11100000010000
312020001221002100
410131333200100
5123143034102
611234520400
71600146534
oct435774020
9166057070
1074971152
1139356a33
1221136100
13126bc439
149d57bc4
1568ada1c
hex477f810

74971152 has 30 divisors (see below), whose sum is σ = 209815502. Its totient is φ = 24990336.

The previous prime is 74971147. The next prime is 74971153. The reversal of 74971152 is 25117947.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 72999936 + 1971216 = 8544^2 + 1404^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (74971153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 260173 + ... + 260460.

Almost surely, 274971152 is an apocalyptic number.

74971152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

74971152 is an abundant number, since it is smaller than the sum of its proper divisors (134844350).

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

74971152 is a wasteful number, since it uses less digits than its factorization.

74971152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520647 (or 520638 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 74971152 is about 8658.5883375987. The cubic root of 74971152 is about 421.6622560602.

It can be divided in two parts, 7497 and 1152, that added together give a square (8649 = 932).

The spelling of 74971152 in words is "seventy-four million, nine hundred seventy-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 520633 1041266 1561899 2082532 3123798 4165064 4685697 6247596 8330128 9371394 12495192 18742788 24990384 37485576 74971152