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194042592 = 25321935461
BaseRepresentation
bin10111001000011…
…01101011100000
3111112010101101200
423210031223200
5344133330332
631131001200
74544222562
oct1344155340
9445111350
10194042592
119a594087
1254b99200
133127c803
141bab1332
151207e17c
hexb90dae0

194042592 has 72 divisors (see below), whose sum is σ = 580867560. Its totient is φ = 61274880.

The previous prime is 194042591. The next prime is 194042599. The reversal of 194042592 is 295240491.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194042591) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12259 + ... + 23202.

It is an arithmetic number, because the mean of its divisors is an integer number (8067605).

Almost surely, 2194042592 is an apocalyptic number.

194042592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

194042592 is an abundant number, since it is smaller than the sum of its proper divisors (386824968).

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

194042592 is a wasteful number, since it uses less digits than its factorization.

194042592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35496 (or 35485 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 194042592 is about 13929.9171569683. The cubic root of 194042592 is about 578.9383989517.

The spelling of 194042592 in words is "one hundred ninety-four million, forty-two thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 35461 70922 106383 141844 212766 283688 319149 425532 567376 638298 673759 851064 1134752 1276596 1347518 1702128 2021277 2553192 2695036 3404256 4042554 5106384 5390072 6063831 8085108 10212768 10780144 12127662 16170216 21560288 24255324 32340432 48510648 64680864 97021296 194042592