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38152416 = 2531133517
BaseRepresentation
bin1001000110001…
…0100011100000
32122210100021110
42101202203200
534231334131
63441423320
7642201351
oct221424340
978710243
1038152416
111a599525
121093ab40
137b9a8c3
1450d1d28
153539646
hex24628e0

38152416 has 48 divisors (see below), whose sum is σ = 101065104. Its totient is φ = 12601344.

The previous prime is 38152363. The next prime is 38152459. The reversal of 38152416 is 61425183.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9090 + ... + 12606.

It is an arithmetic number, because the mean of its divisors is an integer number (2105523).

Almost surely, 238152416 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 38152416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50532552).

38152416 is an abundant number, since it is smaller than the sum of its proper divisors (62912688).

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

38152416 is a wasteful number, since it uses less digits than its factorization.

38152416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643 (or 3635 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 38152416 is about 6176.7642014246. The cubic root of 38152416 is about 336.6464312686.

Adding to 38152416 its reverse (61425183), we get a palindrome (99577599).

The spelling of 38152416 in words is "thirty-eight million, one hundred fifty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 904 1356 1808 2712 3517 3616 5424 7034 10551 10848 14068 21102 28136 42204 56272 84408 112544 168816 337632 397421 794842 1192263 1589684 2384526 3179368 4769052 6358736 9538104 12717472 19076208 38152416