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39090016 = 2571091601
BaseRepresentation
bin1001010100011…
…1011101100000
32201112222102101
42111013131200
540001340031
63513500144
7653155030
oct225073540
981488371
1039090016
11200799a9
1211111654
1381385b4
1452978c0
153672361
hex2547760

39090016 has 48 divisors (see below), whose sum is σ = 88814880. Its totient is φ = 16588800.

The previous prime is 39090013. The next prime is 39090043. The reversal of 39090016 is 61009093.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39090013) 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, 23616 + ... + 25216.

It is an arithmetic number, because the mean of its divisors is an integer number (1850310).

Almost surely, 239090016 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 39090016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44407440).

39090016 is an abundant number, since it is smaller than the sum of its proper divisors (49724864).

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

39090016 is a wasteful number, since it uses less digits than its factorization.

39090016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 28.

The square root of 39090016 is about 6252.2008924858. The cubic root of 39090016 is about 339.3818526179.

The spelling of 39090016 in words is "thirty-nine million, ninety thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 109 112 218 224 436 763 872 1526 1601 1744 3052 3202 3488 6104 6404 11207 12208 12808 22414 24416 25616 44828 51232 89656 174509 179312 349018 358624 698036 1221563 1396072 2443126 2792144 4886252 5584288 9772504 19545008 39090016