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88045932 = 223132353463
BaseRepresentation
bin1010011111101…
…11100101101100
320010200012022110
411033313211230
5140014432212
612423044020
72116243452
oct517674554
9203605273
1088045932
1145777237
12255a0610
13153196b0
14b99c9d2
157ae2a3c
hex53f796c

88045932 has 96 divisors (see below), whose sum is σ = 235726848. Its totient is φ = 25369344.

The previous prime is 88045931. The next prime is 88045963. The reversal of 88045932 is 23954088.

It is a happy number.

It is a super-2 number, since 2×880459322 = 15504172283497248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (88045931) 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 31 ways as a sum of consecutive naturals, for example, 189933 + ... + 190395.

It is an arithmetic number, because the mean of its divisors is an integer number (2455488).

Almost surely, 288045932 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 88045932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117863424).

88045932 is an abundant number, since it is smaller than the sum of its proper divisors (147680916).

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

88045932 is a wasteful number, since it uses less digits than its factorization.

88045932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 88045932 is about 9383.2793840959. The cubic root of 88045932 is about 444.8733924213.

The spelling of 88045932 in words is "eighty-eight million, forty-five thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 53 69 78 92 106 138 156 159 212 276 299 318 463 598 636 689 897 926 1196 1219 1378 1389 1794 1852 2067 2438 2756 2778 3588 3657 4134 4876 5556 6019 7314 8268 10649 12038 14628 15847 18057 21298 24076 24539 31694 31947 36114 42596 47541 49078 63388 63894 72228 73617 95082 98156 127788 138437 147234 190164 276874 294468 319007 415311 553748 564397 638014 830622 957021 1128794 1276028 1661244 1693191 1914042 2257588 3386382 3828084 6772764 7337161 14674322 22011483 29348644 44022966 88045932