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38105088 = 21237443
BaseRepresentation
bin1001000101011…
…1000000000000
32122200221100120
42101113000000
534223330323
63440420240
7641613360
oct221270000
978627316
1038105088
111a566a0a
1210917680
137b821b8
1450bc9a0
15352a5e3
hex2457000

38105088 has 104 divisors (see below), whose sum is σ = 116377728. Its totient is φ = 10862592.

The previous prime is 38105087. The next prime is 38105129. The reversal of 38105088 is 88050183.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38105087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85795 + ... + 86237.

Almost surely, 238105088 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 38105088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58188864).

38105088 is an abundant number, since it is smaller than the sum of its proper divisors (78272640).

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

38105088 is an equidigital number, since it uses as much as digits as its factorization.

38105088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 38105088 is about 6172.9318803952. The cubic root of 38105088 is about 336.5071705811.

The spelling of 38105088 in words is "thirty-eight million, one hundred five thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 443 448 512 672 768 886 896 1024 1329 1344 1536 1772 1792 2048 2658 2688 3072 3101 3544 3584 4096 5316 5376 6144 6202 7088 7168 9303 10632 10752 12288 12404 14176 14336 18606 21264 21504 24808 28352 28672 37212 42528 43008 49616 56704 74424 85056 86016 99232 113408 148848 170112 198464 226816 297696 340224 396928 453632 595392 680448 793856 907264 1190784 1360896 1587712 1814528 2381568 2721792 3175424 4763136 5443584 6350848 9526272 12701696 19052544 38105088