Search a number
-
+
74059776 = 212327241
BaseRepresentation
bin1000110101000…
…01000000000000
312011100121220200
410122201000000
5122424403101
611203205200
71556332500
oct432410000
9164317820
1074059776
113889422a
1220976800
131246066b
149b9ba00
15677d986
hex46a1000

74059776 has 234 divisors, whose sum is σ = 254920302. Its totient is φ = 20643840.

The previous prime is 74059771. The next prime is 74059787. The reversal of 74059776 is 67795047.

It can be written as a sum of positive squares in only one way, i.e., 45158400 + 28901376 = 6720^2 + 5376^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74059771) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1806316 + ... + 1806356.

It is an arithmetic number, because the mean of its divisors is an integer number (1089403).

Almost surely, 274059776 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 74059776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127460151).

74059776 is an abundant number, since it is smaller than the sum of its proper divisors (180860526).

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

74059776 is a wasteful number, since it uses less digits than its factorization.

74059776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 74059776 is about 8605.7989751097. The cubic root of 74059776 is about 419.9466598927.

It can be divided in two parts, 740 and 59776, that added together give a square (60516 = 2462).

The spelling of 74059776 in words is "seventy-four million, fifty-nine thousand, seven hundred seventy-six".