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88132608 = 2103273131
BaseRepresentation
bin1010100000011…
…00110000000000
320010211121012200
411100030300000
5140030220413
612424553200
72120054244
oct520146000
9203747180
1088132608
1145826373
1225622800
1315349c95
14b9c2424
157b0d573
hex540cc00

88132608 has 132 divisors (see below), whose sum is σ = 259936248. Its totient is φ = 28753920.

The previous prime is 88132591. The next prime is 88132609. The reversal of 88132608 is 80623188.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (88132609) 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 11 ways as a sum of consecutive naturals, for example, 672703 + ... + 672833.

It is an arithmetic number, because the mean of its divisors is an integer number (1969214).

Almost surely, 288132608 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 88132608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129968124).

88132608 is an abundant number, since it is smaller than the sum of its proper divisors (171803640).

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

88132608 is a wasteful number, since it uses less digits than its factorization.

88132608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 88132608 is about 9387.8968890801. The cubic root of 88132608 is about 445.0193283697.

It can be divided in two parts, 881 and 32608, that added together give a square (33489 = 1832).

The spelling of 88132608 in words is "eighty-eight million, one hundred thirty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 131 144 146 192 219 256 262 288 292 384 393 438 512 524 576 584 657 768 786 876 1024 1048 1152 1168 1179 1314 1536 1572 1752 2096 2304 2336 2358 2628 3072 3144 3504 4192 4608 4672 4716 5256 6288 7008 8384 9216 9344 9432 9563 10512 12576 14016 16768 18688 18864 19126 21024 25152 28032 28689 33536 37376 37728 38252 42048 50304 56064 57378 67072 74752 75456 76504 84096 86067 100608 112128 114756 134144 150912 153008 168192 172134 201216 224256 229512 301824 306016 336384 344268 402432 459024 603648 612032 672768 688536 918048 1207296 1224064 1377072 1836096 2448128 2754144 3672192 4896256 5508288 7344384 9792512 11016576 14688768 22033152 29377536 44066304 88132608