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87741696 = 283719859
BaseRepresentation
bin1010011101011…
…01010100000000
320010002201222110
411032231110000
5134430213241
612412335320
72113535460
oct516552400
9203081873
1087741696
11455896a9
1225474540
1315241083
14b91dba0
157a82816
hex53ad500

87741696 has 144 divisors (see below), whose sum is σ = 281254400. Its totient is φ = 23721984.

The previous prime is 87741691. The next prime is 87741697. The reversal of 87741696 is 69614778.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87741691) 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 15 ways as a sum of consecutive naturals, for example, 101715 + ... + 102573.

Almost surely, 287741696 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 87741696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140627200).

87741696 is an abundant number, since it is smaller than the sum of its proper divisors (193512704).

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

87741696 is a wasteful number, since it uses less digits than its factorization.

87741696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 890 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The square root of 87741696 is about 9367.0537523813. The cubic root of 87741696 is about 444.3603924016.

The spelling of 87741696 in words is "eighty-seven million, seven hundred forty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 304 336 384 399 448 456 532 608 672 768 798 859 896 912 1064 1216 1344 1596 1718 1792 1824 2128 2432 2577 2688 3192 3436 3648 4256 4864 5154 5376 6013 6384 6872 7296 8512 10308 12026 12768 13744 14592 16321 17024 18039 20616 24052 25536 27488 32642 34048 36078 41232 48104 48963 51072 54976 65284 72156 82464 96208 97926 102144 109952 114247 130568 144312 164928 192416 195852 219904 228494 261136 288624 329856 342741 384832 391704 456988 522272 577248 659712 685482 769664 783408 913976 1044544 1154496 1370964 1539328 1566816 1827952 2089088 2308992 2741928 3133632 3655904 4178176 4617984 5483856 6267264 7311808 10967712 12534528 14623616 21935424 29247232 43870848 87741696