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192871392 = 25371716883
BaseRepresentation
bin10110111111011…
…11101111100000
3111102220212210220
423133233233200
5343333341032
631045523040
74531244160
oct1337575740
9442825726
10192871392
119996414a
1254713480
1330c5c6ac
141b8885a0
1511dec12c
hexb7efbe0

192871392 has 96 divisors (see below), whose sum is σ = 612686592. Its totient is φ = 51861504.

The previous prime is 192871391. The next prime is 192871423. The reversal of 192871392 is 293178291.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (192871391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2983 + ... + 19865.

It is an arithmetic number, because the mean of its divisors is an integer number (6382152).

Almost surely, 2192871392 is an apocalyptic number.

192871392 is a gapful number since it is divisible by the number (12) 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 192871392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306343296).

192871392 is an abundant number, since it is smaller than the sum of its proper divisors (419815200).

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

192871392 is a wasteful number, since it uses less digits than its factorization.

192871392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16920 (or 16912 counting only the distinct ones).

The product of its digits is 54432, while the sum is 42.

The square root of 192871392 is about 13887.8145148904. The cubic root of 192871392 is about 577.7712644017.

The spelling of 192871392 in words is "one hundred ninety-two million, eight hundred seventy-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 5712 11424 16883 33766 50649 67532 101298 118181 135064 202596 236362 270128 287011 354543 405192 472724 540256 574022 709086 810384 861033 945448 1148044 1418172 1620768 1722066 1890896 2009077 2296088 2836344 3444132 3781792 4018154 4592176 5672688 6027231 6888264 8036308 9184352 11345376 12054462 13776528 16072616 24108924 27553056 32145232 48217848 64290464 96435696 192871392