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88422848 = 2617671213
BaseRepresentation
bin1010100010100…
…11100111000000
320011101100100022
411101103213000
5140114012343
612435113012
72122403363
oct521234700
9204340308
1088422848
1145a04438
1225742768
131541c117
14ba5a0da
157b69568
hex54539c0

88422848 has 56 divisors (see below), whose sum is σ = 188713872. Its totient is φ = 40955904.

The previous prime is 88422847. The next prime is 88422857. The reversal of 88422848 is 84822488.

It is a super-2 number, since 2×884228482 = 15637200096862208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 88422799 and 88422808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88422847) 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 7 ways as a sum of consecutive naturals, for example, 72290 + ... + 73502.

Almost surely, 288422848 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 88422848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94356936).

88422848 is an abundant number, since it is smaller than the sum of its proper divisors (100291024).

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

88422848 is a wasteful number, since it uses less digits than its factorization.

88422848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1299 counting only the distinct ones).

The product of its digits is 262144, while the sum is 44.

The square root of 88422848 is about 9403.3423844929. The cubic root of 88422848 is about 445.5073084902.

It can be divided in two parts, 884 and 22848, that added together give a palindrome (23732).

The spelling of 88422848 in words is "eighty-eight million, four hundred twenty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 67 68 134 136 268 272 536 544 1072 1088 1139 1213 2144 2278 2426 4288 4556 4852 9112 9704 18224 19408 20621 36448 38816 41242 72896 77632 81271 82484 162542 164968 325084 329936 650168 659872 1300336 1319744 1381607 2600672 2763214 5201344 5526428 11052856 22105712 44211424 88422848