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8235150088 = 23111937133117
BaseRepresentation
bin1111010101101101…
…00110101100001000
3210020220212222011211
413222312212230020
5113331144300323
63441055502504
7411034422634
oct75266465410
923226788154
108235150088
113546589170
121719b27a34
13a13186599
145819d9dc4
15332e9970d
hex1eada6b08

8235150088 has 64 divisors (see below), whose sum is σ = 18210542400. Its totient is φ = 3450366720.

The previous prime is 8235150083. The next prime is 8235150101. The reversal of 8235150088 is 8800515328.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 8235150088.

It is not an unprimeable number, because it can be changed into a prime (8235150083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4695 + ... + 128422.

It is an arithmetic number, because the mean of its divisors is an integer number (284539725).

Almost surely, 28235150088 is an apocalyptic number.

8235150088 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8235150088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9105271200).

8235150088 is an abundant number, since it is smaller than the sum of its proper divisors (9975392312).

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

8235150088 is a wasteful number, since it uses less digits than its factorization.

8235150088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133190 (or 133186 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 40.

The square root of 8235150088 is about 90747.7277291283. The cubic root of 8235150088 is about 2019.4069173465.

The spelling of 8235150088 in words is "eight billion, two hundred thirty-five million, one hundred fifty thousand, eighty-eight".

Divisors: 1 2 4 8 11 19 22 37 38 44 74 76 88 148 152 209 296 407 418 703 814 836 1406 1628 1672 2812 3256 5624 7733 15466 30932 61864 133117 266234 532468 1064936 1464287 2529223 2928574 4925329 5058446 5857148 9850658 10116892 11714296 19701316 20233784 27821453 39402632 54178619 55642906 93581251 108357238 111285812 187162502 216714476 222571624 374325004 433428952 748650008 1029393761 2058787522 4117575044 8235150088