Search a number
-
+
74197728 = 25331137211
BaseRepresentation
bin1000110110000…
…10101011100000
312011121122011000
410123002223200
5122443311403
611210152000
71560445623
oct433025340
9164548130
1074197728
1138978940
1220a22600
13124ab3a7
149bd5dba
1567a97a3
hex46c2ae0

74197728 has 192 divisors, whose sum is σ = 243613440. Its totient is φ = 21772800.

The previous prime is 74197727. The next prime is 74197757. The reversal of 74197728 is 82779147.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74197723) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 351543 + ... + 351753.

It is an arithmetic number, because the mean of its divisors is an integer number (1268820).

Almost surely, 274197728 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 74197728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121806720).

74197728 is an abundant number, since it is smaller than the sum of its proper divisors (169415712).

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

74197728 is a wasteful number, since it uses less digits than its factorization.

74197728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 264 counting only the distinct ones).

The product of its digits is 197568, while the sum is 45.

The square root of 74197728 is about 8613.8103067110. The cubic root of 74197728 is about 420.2072446592.

The spelling of 74197728 in words is "seventy-four million, one hundred ninety-seven thousand, seven hundred twenty-eight".