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192316032 = 2738229
BaseRepresentation
bin10110111011010…
…00001010000000
3111101212200000000
423131220022000
5343213103112
631030000000
74523442066
oct1335501200
9441780000
10192316032
1199614977
12544a6000
1330ac698c
141b782036
1511d3c7dc
hexb768280

192316032 has 144 divisors (see below), whose sum is σ = 577174650. Its totient is φ = 63825408.

The previous prime is 192316021. The next prime is 192316049. The reversal of 192316032 is 230613291.

It can be written as a sum of positive squares in only one way, i.e., 121352256 + 70963776 = 11016^2 + 8424^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 192315987 and 192316005.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 839694 + ... + 839922.

Almost surely, 2192316032 is an apocalyptic number.

192316032 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 192316032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288587325).

192316032 is an abundant number, since it is smaller than the sum of its proper divisors (384858618).

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

192316032 is an frugal number, since it uses more digits than its factorization.

192316032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 192316032 is about 13867.8055942532. The cubic root of 192316032 is about 577.2161803202.

It can be divided in two parts, 1923 and 16032, that added together give a triangular number (17955 = T189).

The spelling of 192316032 in words is "one hundred ninety-two million, three hundred sixteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 229 243 288 324 384 432 458 486 576 648 687 729 864 916 972 1152 1296 1374 1458 1728 1832 1944 2061 2187 2592 2748 2916 3456 3664 3888 4122 4374 5184 5496 5832 6183 6561 7328 7776 8244 8748 10368 10992 11664 12366 13122 14656 15552 16488 17496 18549 21984 23328 24732 26244 29312 31104 32976 34992 37098 43968 46656 49464 52488 55647 65952 69984 74196 87936 93312 98928 104976 111294 131904 139968 148392 166941 197856 209952 222588 263808 279936 296784 333882 395712 419904 445176 500823 593568 667764 791424 839808 890352 1001646 1187136 1335528 1502469 1780704 2003292 2374272 2671056 3004938 3561408 4006584 5342112 6009876 7122816 8013168 10684224 12019752 16026336 21368448 24039504 32052672 48079008 64105344 96158016 192316032