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38055906 = 234737907
BaseRepresentation
bin1001000100101…
…0111111100010
32122121102220000
42101022333202
534220242111
63435400430
7641320110
oct221127742
978542800
1038055906
111a532a69
12108b3116
137b659b5
1450a8ab0
15351ac56
hex244afe2

38055906 has 80 divisors (see below), whose sum is σ = 100199616. Its totient is φ = 10567584.

The previous prime is 38055889. The next prime is 38055923. The reversal of 38055906 is 60955083.

38055906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38055889) and next prime (38055923).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41505 + ... + 42411.

Almost surely, 238055906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38055906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50099808).

38055906 is an abundant number, since it is smaller than the sum of its proper divisors (62143710).

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

38055906 is a wasteful number, since it uses less digits than its factorization.

38055906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 38055906 is about 6168.9469117508. The cubic root of 38055906 is about 336.3623323455.

The spelling of 38055906 in words is "thirty-eight million, fifty-five thousand, nine hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 81 111 126 162 189 222 259 333 378 518 567 666 777 907 999 1134 1554 1814 1998 2331 2721 2997 4662 5442 5994 6349 6993 8163 12698 13986 16326 19047 20979 24489 33559 38094 41958 48978 57141 67118 73467 100677 114282 146934 171423 201354 234913 302031 342846 469826 514269 604062 704739 906093 1028538 1409478 1812186 2114217 2718279 4228434 5436558 6342651 12685302 19027953 38055906