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4194985000 = 23544717851
BaseRepresentation
bin1111101000001010…
…0110010000101000
3101211100121022120211
43322002212100220
532042404010000
61532133030504
7205645532653
oct37202462050
911740538524
104194985000
111862a61358
12990a85434
1351b14115b
142bb1cc89a
1519843d7ba
hexfa0a6428

4194985000 has 80 divisors (see below), whose sum is σ = 10038536640. Its totient is φ = 1642200000.

The previous prime is 4194984943. The next prime is 4194985021. The reversal of 4194985000 is 5894914.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 226075 + ... + 243925.

It is an arithmetic number, because the mean of its divisors is an integer number (125481708).

Almost surely, 24194985000 is an apocalyptic number.

4194985000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4194985000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5019268320).

4194985000 is an abundant number, since it is smaller than the sum of its proper divisors (5843551640).

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

4194985000 is a wasteful number, since it uses less digits than its factorization.

4194985000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17924 (or 17905 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 4194985000 is about 64768.7038622821. The cubic root of 4194985000 is about 1612.7862200498.

The spelling of 4194985000 in words is "four billion, one hundred ninety-four million, nine hundred eighty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 250 376 470 500 625 940 1000 1175 1250 1880 2350 2500 4700 5000 5875 9400 11750 17851 23500 29375 35702 47000 58750 71404 89255 117500 142808 178510 235000 357020 446275 714040 838997 892550 1677994 1785100 2231375 3355988 3570200 4194985 4462750 6711976 8389970 8925500 11156875 16779940 17851000 20974925 22313750 33559880 41949850 44627500 83899700 89255000 104874625 167799400 209749250 419498500 524373125 838997000 1048746250 2097492500 4194985000