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41126088 = 23331167331
BaseRepresentation
bin1001110011100…
…0100011001000
32212101102101110
42130320203020
541012013323
64025250320
71006365063
oct234704310
985342343
1041126088
112123a703
12119339a0
13869c283
1456678da
153925793
hex27388c8

41126088 has 64 divisors (see below), whose sum is σ = 107089920. Its totient is φ = 13147200.

The previous prime is 41126087. The next prime is 41126117. The reversal of 41126088 is 88062114.

It is a super-2 number, since 2×411260882 = 3382710228367488, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (41126087) 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, 124083 + ... + 124413.

It is an arithmetic number, because the mean of its divisors is an integer number (1673280).

Almost surely, 241126088 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 41126088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53544960).

41126088 is an abundant number, since it is smaller than the sum of its proper divisors (65963832).

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

41126088 is a wasteful number, since it uses less digits than its factorization.

41126088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 41126088 is about 6412.9624979412. The cubic root of 41126088 is about 345.1748410148.

The spelling of 41126088 in words is "forty-one million, one hundred twenty-six thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 167 186 248 331 334 372 501 662 668 744 993 1002 1324 1336 1986 2004 2648 3972 4008 5177 7944 10261 10354 15531 20522 20708 30783 31062 41044 41416 55277 61566 62124 82088 110554 123132 124248 165831 221108 246264 331662 442216 663324 1326648 1713587 3427174 5140761 6854348 10281522 13708696 20563044 41126088