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195038928 = 2434721499
BaseRepresentation
bin10111010000000…
…00111011010000
3111121000000010000
423220000323100
5344412221203
631204210000
74555542420
oct1350007320
9447000100
10195038928
11a01046a7
1255399900
133153b166
141bc90480
15121c94a3
hexba00ed0

195038928 has 100 divisors (see below), whose sum is σ = 645172000. Its totient is φ = 55722816.

The previous prime is 195038923. The next prime is 195038929. The reversal of 195038928 is 829830591.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195038923) 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 19 ways as a sum of consecutive naturals, for example, 1678 + ... + 19821.

It is an arithmetic number, because the mean of its divisors is an integer number (6451720).

Almost surely, 2195038928 is an apocalyptic number.

195038928 is a gapful number since it is divisible by the number (18) 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 195038928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322586000).

195038928 is an abundant number, since it is smaller than the sum of its proper divisors (450133072).

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

195038928 is a wasteful number, since it uses less digits than its factorization.

195038928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21526 (or 21511 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 195038928 is about 13965.6338202031. The cubic root of 195038928 is about 579.9275850931.

The spelling of 195038928 in words is "one hundred ninety-five million, thirty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 21499 42998 64497 85996 128994 150493 171992 193491 257988 300986 343984 386982 451479 515976 580473 601972 773964 902958 1031952 1160946 1203944 1354437 1547928 1741419 1805916 2321892 2407888 2708874 3095856 3482838 3611832 4063311 4643784 5417748 6965676 7223664 8126622 9287568 10835496 12189933 13931352 16253244 21670992 24379866 27862704 32506488 48759732 65012976 97519464 195038928