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196264152 = 233272316931
BaseRepresentation
bin10111011001011…
…00000011011000
3111200022020210200
423230230003120
5400220423102
631250342200
74602134460
oct1354540330
9450266720
10196264152
11a0871187
125588a960
1331879a46
141c0ccba0
151236c51c
hexbb2c0d8

196264152 has 96 divisors (see below), whose sum is σ = 633934080. Its totient is φ = 53634240.

The previous prime is 196264139. The next prime is 196264153. The reversal of 196264152 is 251462691.

196264152 is a `hidden beast` number, since 1 + 9 + 6 + 2 + 641 + 5 + 2 = 666.

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 (196264153) 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 23 ways as a sum of consecutive naturals, for example, 3127 + ... + 20057.

It is an arithmetic number, because the mean of its divisors is an integer number (6603480).

Almost surely, 2196264152 is an apocalyptic number.

196264152 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 196264152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316967040).

196264152 is an abundant number, since it is smaller than the sum of its proper divisors (437669928).

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

196264152 is a wasteful number, since it uses less digits than its factorization.

196264152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16973 (or 16966 counting only the distinct ones).

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

The square root of 196264152 is about 14009.4308235560. The cubic root of 196264152 is about 581.1394089980.

The spelling of 196264152 in words is "one hundred ninety-six million, two hundred sixty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1288 1449 1656 1932 2898 3864 5796 11592 16931 33862 50793 67724 101586 118517 135448 152379 203172 237034 304758 355551 389413 406344 474068 609516 711102 778826 948136 1066653 1168239 1219032 1422204 1557652 2133306 2336478 2725891 2844408 3115304 3504717 4266612 4672956 5451782 7009434 8177673 8533224 9345912 10903564 14018868 16355346 21807128 24533019 28037736 32710692 49066038 65421384 98132076 196264152