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38316528 = 2432232503
BaseRepresentation
bin1001001000101…
…0100111110000
32200002200101200
42102022213300
534302112103
63445131200
7643453665
oct222124760
980080350
1038316528
111a6a0858
12109b9b00
137c27503
145135a6c
15356d0a3
hex248a9f0

38316528 has 90 divisors (see below), whose sum is σ = 112320936. Its totient is φ = 12192576.

The previous prime is 38316503. The next prime is 38316539. The reversal of 38316528 is 82561383.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38316492 and 38316501.

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 17 ways as a sum of consecutive naturals, for example, 75925 + ... + 76427.

Almost surely, 238316528 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 38316528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56160468).

38316528 is an abundant number, since it is smaller than the sum of its proper divisors (74004408).

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

38316528 is a wasteful number, since it uses less digits than its factorization.

38316528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 531 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 38316528 is about 6190.0345717936. The cubic root of 38316528 is about 337.1284338777.

The spelling of 38316528 in words is "thirty-eight million, three hundred sixteen thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 503 529 552 828 1006 1058 1104 1509 1587 1656 2012 2116 3018 3174 3312 4024 4232 4527 4761 6036 6348 8048 8464 9054 9522 11569 12072 12696 18108 19044 23138 24144 25392 34707 36216 38088 46276 69414 72432 76176 92552 104121 138828 185104 208242 266087 277656 416484 532174 555312 798261 832968 1064348 1596522 1665936 2128696 2394783 3193044 4257392 4789566 6386088 9579132 12772176 19158264 38316528