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74006608 = 24132912269
BaseRepresentation
bin1000110100101…
…00000001010000
312011020220222111
410122110001100
5122421202413
611202115104
71556021464
oct432240120
9164226874
1074006608
1138858295
122094ba94
13124423c0
149b864a4
15676cd3d
hex4694050

74006608 has 40 divisors (see below), whose sum is σ = 159755400. Its totient is φ = 32976384.

The previous prime is 74006587. The next prime is 74006609. The reversal of 74006608 is 80660047.

It can be written as a sum of positive squares in 4 ways, for example, as 16064064 + 57942544 = 4008^2 + 7612^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 74006608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74006609) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103 + ... + 12166.

It is an arithmetic number, because the mean of its divisors is an integer number (3993885).

Almost surely, 274006608 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 74006608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79877700).

74006608 is an abundant number, since it is smaller than the sum of its proper divisors (85748792).

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

74006608 is a wasteful number, since it uses less digits than its factorization.

74006608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12319 (or 12313 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 74006608 is about 8602.7093406670. The cubic root of 74006608 is about 419.8461416788.

The spelling of 74006608 in words is "seventy-four million, six thousand, six hundred eight".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 754 1508 3016 6032 12269 24538 49076 98152 159497 196304 318994 355801 637988 711602 1275976 1423204 2551952 2846408 4625413 5692816 9250826 18501652 37003304 74006608