Search a number
-
+
87142848 = 2631334913
BaseRepresentation
bin1010011000110…
…11000111000000
320001222022111220
411030123013000
5134302032343
612351435040
72105462532
oct514330700
9201868456
1087142848
114520a791
1225225a80
1315091620
14b805852
1579b5183
hex531b1c0

87142848 has 56 divisors (see below), whose sum is σ = 248308368. Its totient is φ = 26812416.

The previous prime is 87142843. The next prime is 87142849. The reversal of 87142848 is 84824178.

It is a super-2 number, since 2×871428482 = 15187751915102208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87142843) 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, 14961 + ... + 19952.

It is an arithmetic number, because the mean of its divisors is an integer number (4434078).

Almost surely, 287142848 is an apocalyptic number.

It is an amenable number.

87142848 is an abundant number, since it is smaller than the sum of its proper divisors (161165520).

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

87142848 is a wasteful number, since it uses less digits than its factorization.

87142848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34941 (or 34931 counting only the distinct ones).

The product of its digits is 114688, while the sum is 42.

The square root of 87142848 is about 9335.0333689816. The cubic root of 87142848 is about 443.3471453791.

It can be divided in two parts, 87142 and 848, that added together give a triangular number (87990 = T419).

The spelling of 87142848 in words is "eighty-seven million, one hundred forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 34913 69826 104739 139652 209478 279304 418956 453869 558608 837912 907738 1117216 1361607 1675824 1815476 2234432 2723214 3351648 3630952 5446428 6703296 7261904 10892856 14523808 21785712 29047616 43571424 87142848