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87389696 = 292341181
BaseRepresentation
bin1010011010101…
…11011000000000
320002102212010102
411031113120000
5134332432241
612401021532
72110541312
oct515273000
9202385112
1087389696
1145369199
12253248a8
1315149aa4
14b86b7b2
157a1339b
hex5357600

87389696 has 80 divisors (see below), whose sum is σ = 187675488. Its totient is φ = 40550400.

The previous prime is 87389693. The next prime is 87389747. The reversal of 87389696 is 69698378.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87389693) 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, 482726 + ... + 482906.

Almost surely, 287389696 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 87389696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93837744).

87389696 is an abundant number, since it is smaller than the sum of its proper divisors (100285792).

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

87389696 is a wasteful number, since it uses less digits than its factorization.

87389696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 247 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 56.

The square root of 87389696 is about 9348.2456108085. The cubic root of 87389696 is about 443.7653712589.

The spelling of 87389696 in words is "eighty-seven million, three hundred eighty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 23 32 41 46 64 82 92 128 164 181 184 256 328 362 368 512 656 724 736 943 1312 1448 1472 1886 2624 2896 2944 3772 4163 5248 5792 5888 7421 7544 8326 10496 11584 11776 14842 15088 16652 20992 23168 29684 30176 33304 46336 59368 60352 66608 92672 118736 120704 133216 170683 237472 241408 266432 341366 474944 482816 532864 682732 949888 1065728 1365464 1899776 2131456 2730928 3799552 5461856 10923712 21847424 43694848 87389696