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74944980 = 223351123137
BaseRepresentation
bin1000111011110…
…01000111010100
312020000121012000
410131321013110
5123141214410
611234155300
71600010325
oct435710724
9166017160
1074944980
1139339300
1221122b30
13126b0556
149d4c44c
1568a5dc0
hex47791d4

74944980 has 288 divisors, whose sum is σ = 271703040. Its totient is φ = 17107200.

The previous prime is 74944967. The next prime is 74944981. The reversal of 74944980 is 8944947.

74944980 is a `hidden beast` number, since 74 + 94 + 498 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74944981) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2025522 + ... + 2025558.

Almost surely, 274944980 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 74944980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135851520).

74944980 is an abundant number, since it is smaller than the sum of its proper divisors (196758060).

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

74944980 is a wasteful number, since it uses less digits than its factorization.

74944980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 74944980 is about 8657.0768738645. The cubic root of 74944980 is about 421.6131837229.

The spelling of 74944980 in words is "seventy-four million, nine hundred forty-four thousand, nine hundred eighty".