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74426688 = 263472293
BaseRepresentation
bin1000110111110…
…10100101000000
312012001021020000
410123322211000
5123023123223
611215120000
71562421300
oct433724500
9165037200
1074426688
1139014966
1220b13000
131255b67b
149c55600
156802543
hex46fa940

74426688 has 210 divisors, whose sum is σ = 257520186. Its totient is φ = 21192192.

The previous prime is 74426683. The next prime is 74426707. The reversal of 74426688 is 88662447.

It can be written as a sum of positive squares in only one way, i.e., 73410624 + 1016064 = 8568^2 + 1008^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74426683) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 253870 + ... + 254162.

Almost surely, 274426688 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 74426688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128760093).

74426688 is an abundant number, since it is smaller than the sum of its proper divisors (183093498).

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

74426688 is a wasteful number, since it uses less digits than its factorization.

74426688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 305 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 74426688 is about 8627.0903553863. The cubic root of 74426688 is about 420.6390272312.

The spelling of 74426688 in words is "seventy-four million, four hundred twenty-six thousand, six hundred eighty-eight".