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192648820 = 225713151701
BaseRepresentation
bin10110111101110…
…01011001110100
3111102111120111111
423132321121310
5343304230240
631041044404
74526326240
oct1336713164
9442446444
10192648820
1199821a01
1254626704
1330bb22b0
141b82b420
1511da61ea
hexb7b9674

192648820 has 96 divisors (see below), whose sum is σ = 501935616. Its totient is φ = 60480000.

The previous prime is 192648803. The next prime is 192648829. The reversal of 192648820 is 28846291.

It is a super-2 number, since 2×1926488202 = 74227135694784800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (192648829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274470 + ... + 275170.

It is an arithmetic number, because the mean of its divisors is an integer number (5228496).

Almost surely, 2192648820 is an apocalyptic number.

192648820 is a gapful number since it is divisible by the number (10) 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 192648820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250967808).

192648820 is an abundant number, since it is smaller than the sum of its proper divisors (309286796).

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

192648820 is a wasteful number, since it uses less digits than its factorization.

192648820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 192648820 is about 13879.7989898990. The cubic root of 192648820 is about 577.5489310938.

The spelling of 192648820 in words is "one hundred ninety-two million, six hundred forty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 151 182 260 302 364 455 604 701 755 910 1057 1402 1510 1820 1963 2114 2804 3020 3505 3926 4228 4907 5285 7010 7852 9113 9814 9815 10570 13741 14020 18226 19628 19630 21140 24535 27482 36452 39260 45565 49070 54964 63791 68705 91130 98140 105851 127582 137410 182260 211702 255164 274820 318955 423404 529255 637910 740957 1058510 1275820 1376063 1481914 2117020 2752126 2963828 3704785 5504252 6880315 7409570 9632441 13760630 14819140 19264882 27521260 38529764 48162205 96324410 192648820