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3742506 = 2321931353
BaseRepresentation
bin1110010001101100101010
321001010202100
432101230222
51424230011
6212114230
743545045
oct16215452
97033670
103742506
112126889
121305976
13a10601
146d5c5c
154ddd56
hex391b2a

3742506 has 48 divisors (see below), whose sum is σ = 8835840. Its totient is φ = 1140480.

The previous prime is 3742493. The next prime is 3742523. The reversal of 3742506 is 6052473.

It is a happy number.

3742506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3742506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10426 + ... + 10778.

It is an arithmetic number, because the mean of its divisors is an integer number (184080).

Almost surely, 23742506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3742506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4417920).

3742506 is an abundant number, since it is smaller than the sum of its proper divisors (5093334).

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

3742506 is a wasteful number, since it uses less digits than its factorization.

3742506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3742506 is about 1934.5557629595. Note that the first 3 decimals coincide. The cubic root of 3742506 is about 155.2580647245.

Adding to 3742506 its reverse (6052473), we get a palindrome (9794979).

The spelling of 3742506 in words is "three million, seven hundred forty-two thousand, five hundred six".

Divisors: 1 2 3 6 9 18 19 31 38 57 62 93 114 171 186 279 342 353 558 589 706 1059 1178 1767 2118 3177 3534 5301 6354 6707 10602 10943 13414 20121 21886 32829 40242 60363 65658 98487 120726 196974 207917 415834 623751 1247502 1871253 3742506