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87949818 = 2321133671
BaseRepresentation
bin1010011111000…
…00000111111010
320010111022110200
411033200013322
5140003343233
612421023030
72115363315
oct517400772
9203438420
1087949818
1145711000
1225554a76
13152b4a18
14b97597c
157ac4313
hex53e01fa

87949818 has 48 divisors (see below), whose sum is σ = 209656512. Its totient is φ = 26644200.

The previous prime is 87949801. The next prime is 87949859. The reversal of 87949818 is 81894978.

It is a Curzon number.

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, 22123 + ... + 25793.

It is an arithmetic number, because the mean of its divisors is an integer number (4367844).

Almost surely, 287949818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87949818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104828256).

87949818 is an abundant number, since it is smaller than the sum of its proper divisors (121706694).

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

87949818 is a wasteful number, since it uses less digits than its factorization.

87949818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3712 (or 3687 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The square root of 87949818 is about 9378.1564286378. The cubic root of 87949818 is about 444.7114537278.

The spelling of 87949818 in words is "eighty-seven million, nine hundred forty-nine thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 1331 2178 2662 3671 3993 7342 7986 11013 11979 22026 23958 33039 40381 66078 80762 121143 242286 363429 444191 726858 888382 1332573 2665146 3997719 4886101 7995438 9772202 14658303 29316606 43974909 87949818