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87555552 = 253732659
BaseRepresentation
bin1010011011111…
…11110111100000
320002202021122020
411031333313200
5134403234202
612404341440
72112132000
oct515776740
9202667566
1087555552
1145471867
12253a4880
13151a7426
14b8b2000
157a475bc
hex537fde0

87555552 has 96 divisors (see below), whose sum is σ = 268128000. Its totient is φ = 25006464.

The previous prime is 87555547. The next prime is 87555569. The reversal of 87555552 is 25555578.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31599 + ... + 34257.

It is an arithmetic number, because the mean of its divisors is an integer number (2793000).

Almost surely, 287555552 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 87555552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134064000).

87555552 is an abundant number, since it is smaller than the sum of its proper divisors (180572448).

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

87555552 is a wasteful number, since it uses less digits than its factorization.

87555552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693 (or 2671 counting only the distinct ones).

The product of its digits is 350000, while the sum is 42.

The square root of 87555552 is about 9357.1123750867. The cubic root of 87555552 is about 444.0459330776.

The spelling of 87555552 in words is "eighty-seven million, five hundred fifty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 343 392 588 672 686 784 1029 1176 1372 1568 2058 2352 2659 2744 4116 4704 5318 5488 7977 8232 10636 10976 15954 16464 18613 21272 31908 32928 37226 42544 55839 63816 74452 85088 111678 127632 130291 148904 223356 255264 260582 297808 390873 446712 521164 595616 781746 893424 912037 1042328 1563492 1786848 1824074 2084656 2736111 3126984 3648148 4169312 5472222 6253968 7296296 10944444 12507936 14592592 21888888 29185184 43777776 87555552