Search a number
-
+
87896928 = 2537139941
BaseRepresentation
bin1010011110100…
…11001101100000
320010101121220210
411033103031200
5140000200203
612415534120
72115053160
oct517231540
9203347823
1087896928
1145685299
122552a340
1315296922
14b9605a0
157ab3803
hex53d3360

87896928 has 96 divisors (see below), whose sum is σ = 265870080. Its totient is φ = 24906240.

The previous prime is 87896927. The next prime is 87896933. The reversal of 87896928 is 82969878.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87896923) 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, 92938 + ... + 93878.

It is an arithmetic number, because the mean of its divisors is an integer number (2769480).

Almost surely, 287896928 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 87896928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132935040).

87896928 is an abundant number, since it is smaller than the sum of its proper divisors (177973152).

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

87896928 is a wasteful number, since it uses less digits than its factorization.

87896928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1092 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 57.

The square root of 87896928 is about 9375.3361539734. The cubic root of 87896928 is about 444.6222911206.

The spelling of 87896928 in words is "eighty-seven million, eight hundred ninety-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 139 168 224 278 336 417 556 672 834 941 973 1112 1668 1882 1946 2224 2823 2919 3336 3764 3892 4448 5646 5838 6587 6672 7528 7784 11292 11676 13174 13344 15056 15568 19761 22584 23352 26348 30112 31136 39522 45168 46704 52696 79044 90336 93408 105392 130799 158088 210784 261598 316176 392397 523196 632352 784794 915593 1046392 1569588 1831186 2092784 2746779 3139176 3662372 4185568 5493558 6278352 7324744 10987116 12556704 14649488 21974232 29298976 43948464 87896928