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38475136 = 277231867
BaseRepresentation
bin1001001011000…
…1010110000000
32200101201222001
42102301112000
534322201021
63452353344
7645014260
oct222612600
980351861
1038475136
111a799a37
1210a75854
137c8176b
1451777a0
1535a0091
hex24b1580

38475136 has 64 divisors (see below), whose sum is σ = 91457280. Its totient is φ = 15763968.

The previous prime is 38475127. The next prime is 38475137. The reversal of 38475136 is 63157483.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 38475095 and 38475104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38475137) 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, 19675 + ... + 21541.

It is an arithmetic number, because the mean of its divisors is an integer number (1429020).

Almost surely, 238475136 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 38475136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45728640).

38475136 is an abundant number, since it is smaller than the sum of its proper divisors (52982144).

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

38475136 is a wasteful number, since it uses less digits than its factorization.

38475136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1899 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The square root of 38475136 is about 6202.8329011831. The cubic root of 38475136 is about 337.5929649710.

The spelling of 38475136 in words is "thirty-eight million, four hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 322 368 448 644 736 896 1288 1472 1867 2576 2944 3734 5152 7468 10304 13069 14936 20608 26138 29872 42941 52276 59744 85882 104552 119488 171764 209104 238976 300587 343528 418208 601174 687056 836416 1202348 1374112 1672832 2404696 2748224 4809392 5496448 9618784 19237568 38475136