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87933978 = 23311374001
BaseRepresentation
bin1010011110111…
…00010000011010
320010110111202000
411033130100122
5140002341403
612420421430
72115266166
oct517342032
9203414660
1087933978
1145700110
1225547876
13152aa752
14b96dca6
157abe7a3
hex53dc41a

87933978 has 64 divisors (see below), whose sum is σ = 218989440. Its totient is φ = 25920000.

The previous prime is 87933977. The next prime is 87933983.

87933978 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (87933977) 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 31 ways as a sum of consecutive naturals, for example, 19978 + ... + 23978.

It is an arithmetic number, because the mean of its divisors is an integer number (3421710).

Almost surely, 287933978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87933978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109494720).

87933978 is an abundant number, since it is smaller than the sum of its proper divisors (131055462).

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

87933978 is a wasteful number, since it uses less digits than its factorization.

87933978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4060 (or 4054 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 87933978 is about 9377.3118749458. The cubic root of 87933978 is about 444.6847542131.

The spelling of 87933978 in words is "eighty-seven million, nine hundred thirty-three thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 37 54 66 74 99 111 198 222 297 333 407 594 666 814 999 1221 1998 2442 3663 4001 7326 8002 10989 12003 21978 24006 36009 44011 72018 88022 108027 132033 148037 216054 264066 296074 396099 444111 792198 888222 1188297 1332333 1628407 2376594 2664666 3256814 3996999 4885221 7993998 9770442 14655663 29311326 43966989 87933978