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87890634 = 23213419161
BaseRepresentation
bin1010011110100…
…01101011001010
320010101022021200
411033101223022
5140000000014
612415445030
72115025626
oct517215312
9203338250
1087890634
1145680597
1225526776
1315293ac0
14b95c186
157ab1a09
hex53d1aca

87890634 has 48 divisors (see below), whose sum is σ = 210102984. Its totient is φ = 26380800.

The previous prime is 87890623. The next prime is 87890657. The reversal of 87890634 is 43609878.

It is a happy number.

87890634 is a `hidden beast` number, since 8 + 7 + 8 + 9 + 0 + 634 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29322225 + 58568409 = 5415^2 + 7653^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 87890634.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5014 + ... + 14174.

Almost surely, 287890634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87890634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105051492).

87890634 is an abundant number, since it is smaller than the sum of its proper divisors (122212350).

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

87890634 is a wasteful number, since it uses less digits than its factorization.

87890634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9223 (or 9220 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 87890634 is about 9375.0004800000. Note that the first 3 decimals coincide. The cubic root of 87890634 is about 444.6116782373.

The spelling of 87890634 in words is "eighty-seven million, eight hundred ninety thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 234 246 369 533 738 1066 1599 3198 4797 9161 9594 18322 27483 54966 82449 119093 164898 238186 357279 375601 714558 751202 1071837 1126803 2143674 2253606 3380409 4882813 6760818 9765626 14648439 29296878 43945317 87890634