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74041072 = 247719311
BaseRepresentation
bin1000110100111…
…00011011110000
312011022200020221
410122130123300
5122423303242
611202542424
71556224120
oct432343360
9164280227
1074041072
1138881176
1220967a14
1312454cb1
149b94c80
156778167
hex469c6f0

74041072 has 40 divisors (see below), whose sum is σ = 166275072. Its totient is φ = 31281600.

The previous prime is 74041067. The next prime is 74041087. The reversal of 74041072 is 27014047.

It is a super-4 number, since 4×740410724 (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3297 + ... + 12607.

Almost surely, 274041072 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 74041072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83137536).

74041072 is an abundant number, since it is smaller than the sum of its proper divisors (92234000).

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

74041072 is a wasteful number, since it uses less digits than its factorization.

74041072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9397 (or 9391 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 25.

The square root of 74041072 is about 8604.7121973951. The cubic root of 74041072 is about 419.9113040217.

The spelling of 74041072 in words is "seventy-four million, forty-one thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 284 497 568 994 1136 1988 3976 7952 9311 18622 37244 65177 74488 130354 148976 260708 521416 661081 1042832 1322162 2644324 4627567 5288648 9255134 10577296 18510268 37020536 74041072