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88119328 = 25111391801
BaseRepresentation
bin1010100000010…
…01100000100000
320010210220222211
411100021200200
5140024304303
612424411504
72120000443
oct520114040
9203726884
1088119328
11458173a0
1225616b94
1315343c1b
14b9bb65a
157b0966d
hex5409820

88119328 has 48 divisors (see below), whose sum is σ = 190723680. Its totient is φ = 39744000.

The previous prime is 88119301. The next prime is 88119379. The reversal of 88119328 is 82391188.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 48028 + ... + 49828.

It is an arithmetic number, because the mean of its divisors is an integer number (3973410).

Almost surely, 288119328 is an apocalyptic number.

88119328 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 88119328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95361840).

88119328 is an abundant number, since it is smaller than the sum of its proper divisors (102604352).

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

88119328 is a wasteful number, since it uses less digits than its factorization.

88119328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1953 counting only the distinct ones).

The product of its digits is 27648, while the sum is 40.

The square root of 88119328 is about 9387.1895687687. The cubic root of 88119328 is about 444.9969751088.

The spelling of 88119328 in words is "eighty-eight million, one hundred nineteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 139 176 278 352 556 1112 1529 1801 2224 3058 3602 4448 6116 7204 12232 14408 19811 24464 28816 39622 48928 57632 79244 158488 250339 316976 500678 633952 1001356 2002712 2753729 4005424 5507458 8010848 11014916 22029832 44059664 88119328