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88365940 = 225131492281
BaseRepresentation
bin1010100010001…
…01101101110100
320011021110021121
411101011231310
5140110202230
612433553324
72122045435
oct521055564
9204243247
1088365940
1145975703
1225715844
13153cc250
14ba4348c
157b5777a
hex5445b74

88365940 has 48 divisors (see below), whose sum is σ = 201272400. Its totient is φ = 32394240.

The previous prime is 88365917. The next prime is 88365943. The reversal of 88365940 is 4956388.

It can be written as a sum of positive squares in 8 ways, for example, as 15570916 + 72795024 = 3946^2 + 8532^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88365943) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 37600 + ... + 39880.

It is an arithmetic number, because the mean of its divisors is an integer number (4193175).

Almost surely, 288365940 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 88365940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100636200).

88365940 is an abundant number, since it is smaller than the sum of its proper divisors (112906460).

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

88365940 is a wasteful number, since it uses less digits than its factorization.

88365940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 88365940 is about 9400.3159521369. The cubic root of 88365940 is about 445.4117133984.

The spelling of 88365940 in words is "eighty-eight million, three hundred sixty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 149 260 298 596 745 1490 1937 2281 2980 3874 4562 7748 9124 9685 11405 19370 22810 29653 38740 45620 59306 118612 148265 296530 339869 593060 679738 1359476 1699345 3398690 4418297 6797380 8836594 17673188 22091485 44182970 88365940