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88990128 = 24322397277
BaseRepresentation
bin1010100110111…
…10000110110000
320012110011111200
411103132012300
5140240141003
612455211200
72130255303
oct523360660
9205404450
1088990128
1146261667
1225976b00
131558a3a6
14bb66b3a
157c2c6a3
hex54de1b0

88990128 has 120 divisors (see below), whose sum is σ = 263503968. Its totient is φ = 27979776.

The previous prime is 88990093. The next prime is 88990141. The reversal of 88990128 is 82109988.

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 23 ways as a sum of consecutive naturals, for example, 321126 + ... + 321402.

Almost surely, 288990128 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 88990128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131751984).

88990128 is an abundant number, since it is smaller than the sum of its proper divisors (174513840).

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

88990128 is a wasteful number, since it uses less digits than its factorization.

88990128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 88990128 is about 9433.4579025933. The cubic root of 88990128 is about 446.4580010965.

The spelling of 88990128 in words is "eighty-eight million, nine hundred ninety thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 97 138 144 184 194 207 276 277 291 368 388 414 552 554 582 776 828 831 873 1104 1108 1164 1552 1656 1662 1746 2216 2231 2328 2493 3312 3324 3492 4432 4462 4656 4986 6371 6648 6693 6984 8924 9972 12742 13296 13386 13968 17848 19113 19944 20079 25484 26772 26869 35696 38226 39888 40158 50968 53544 53738 57339 76452 80316 80607 101936 107088 107476 114678 152904 160632 161214 214952 229356 241821 305808 321264 322428 429904 458712 483642 617987 644856 917424 967284 1235974 1289712 1853961 1934568 2471948 3707922 3869136 4943896 5561883 7415844 9887792 11123766 14831688 22247532 29663376 44495064 88990128