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18985024 = 262953193
BaseRepresentation
bin100100001101…
…1000001000000
31022201112120001
41020123001000
514330010044
61514525344
7320240632
oct110330100
938645501
1018985024
11a797803
126436854
133c19456
142742a52
151a002d4
hex121b040

18985024 has 56 divisors (see below), whose sum is σ = 39913560. Its totient is φ = 8945664.

The previous prime is 18985013. The next prime is 18985027. The reversal of 18985024 is 42058981.

It can be written as a sum of positive squares in 4 ways, for example, as 2663424 + 16321600 = 1632^2 + 4040^2 .

It is a super-2 number, since 2×189850242 = 720862272561152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18985027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98272 + ... + 98464.

Almost surely, 218985024 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 18985024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19956780).

18985024 is an abundant number, since it is smaller than the sum of its proper divisors (20928536).

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

18985024 is a wasteful number, since it uses less digits than its factorization.

18985024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 18985024 is about 4357.1807398822. The cubic root of 18985024 is about 266.7700377017.

The spelling of 18985024 in words is "eighteen million, nine hundred eighty-five thousand, twenty-four".

Divisors: 1 2 4 8 16 29 32 53 58 64 106 116 193 212 232 386 424 464 772 848 928 1537 1544 1696 1856 3074 3088 3392 5597 6148 6176 10229 11194 12296 12352 20458 22388 24592 40916 44776 49184 81832 89552 98368 163664 179104 296641 327328 358208 593282 654656 1186564 2373128 4746256 9492512 18985024