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38105808 = 2431379773
BaseRepresentation
bin1001000101011…
…1001011010000
32122200222100020
42101113023100
534223341213
63440423440
7641615436
oct221271320
978628306
1038105808
111a567504
1210917b80
137b82620
1450bcd56
15352a923
hex24572d0

38105808 has 80 divisors (see below), whose sum is σ = 107493120. Its totient is φ = 11561472.

The previous prime is 38105801. The next prime is 38105813. The reversal of 38105808 is 80850183.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38105801) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 48910 + ... + 49682.

It is an arithmetic number, because the mean of its divisors is an integer number (1343664).

Almost surely, 238105808 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 38105808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53746560).

38105808 is an abundant number, since it is smaller than the sum of its proper divisors (69387312).

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

38105808 is a wasteful number, since it uses less digits than its factorization.

38105808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 870 counting only the distinct ones).

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

The square root of 38105808 is about 6172.9901992470. The cubic root of 38105808 is about 336.5092900149.

The spelling of 38105808 in words is "thirty-eight million, one hundred five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 79 104 156 158 208 237 312 316 474 624 632 773 948 1027 1264 1546 1896 2054 2319 3081 3092 3792 4108 4638 6162 6184 8216 9276 10049 12324 12368 16432 18552 20098 24648 30147 37104 40196 49296 60294 61067 80392 120588 122134 160784 183201 241176 244268 366402 482352 488536 732804 793871 977072 1465608 1587742 2381613 2931216 3175484 4763226 6350968 9526452 12701936 19052904 38105808