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87552990 = 23257314483
BaseRepresentation
bin1010011011111…
…11001111011110
320002202011010100
411031333033132
5134403143430
612404321530
72112121350
oct515771736
9202664110
1087552990
114546a948
12253a32a6
13151a6205
14b8b10d0
157a46960
hex537f3de

87552990 has 96 divisors (see below), whose sum is σ = 268609536. Its totient is φ = 19362240.

The previous prime is 87552977. The next prime is 87553003. The reversal of 87552990 is 9925578.

It is a happy number.

87552990 is a `hidden beast` number, since 8 + 7 + 552 + 9 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (87552977) and next prime (87553003).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17289 + ... + 21771.

It is an arithmetic number, because the mean of its divisors is an integer number (2798016).

Almost surely, 287552990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87552990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134304768).

87552990 is an abundant number, since it is smaller than the sum of its proper divisors (181056546).

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

87552990 is a wasteful number, since it uses less digits than its factorization.

87552990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4534 (or 4531 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 87552990 is about 9356.9754728758. The cubic root of 87552990 is about 444.0416018968.

The spelling of 87552990 in words is "eighty-seven million, five hundred fifty-two thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 31 35 42 45 62 63 70 90 93 105 126 155 186 210 217 279 310 315 434 465 558 630 651 930 1085 1302 1395 1953 2170 2790 3255 3906 4483 6510 8966 9765 13449 19530 22415 26898 31381 40347 44830 62762 67245 80694 94143 134490 138973 156905 188286 201735 277946 282429 313810 403470 416919 470715 564858 694865 833838 941430 972811 1250757 1389730 1412145 1945622 2084595 2501514 2824290 2918433 4169190 4864055 5836866 6253785 8755299 9728110 12507570 14592165 17510598 29184330 43776495 87552990