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1995253104 = 2431310093169
BaseRepresentation
bin111011011101101…
…0010010101110000
312011001102100201010
41312323102111300
513041241044404
6525553110520
7100305241305
oct16673222560
95131370633
101995253104
119342a5209
12478258440
1325a4a4850
1414cdc10ac
15ba276189
hex76ed2570

1995253104 has 80 divisors (see below), whose sum is σ = 5558151200. Its totient is φ = 613122048.

The previous prime is 1995253103. The next prime is 1995253111. The reversal of 1995253104 is 4013525991.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1995253103) 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 15 ways as a sum of consecutive naturals, for example, 628032 + ... + 631200.

It is an arithmetic number, because the mean of its divisors is an integer number (69476890).

Almost surely, 21995253104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1995253104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779075600).

1995253104 is an abundant number, since it is smaller than the sum of its proper divisors (3562898096).

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

1995253104 is a wasteful number, since it uses less digits than its factorization.

1995253104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202 (or 4196 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 1995253104 is about 44668.2561110236. The cubic root of 1995253104 is about 1258.9234745484.

The spelling of 1995253104 in words is "one billion, nine hundred ninety-five million, two hundred fifty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1009 2018 3027 3169 4036 6054 6338 8072 9507 12108 12676 13117 16144 19014 24216 25352 26234 38028 39351 41197 48432 50704 52468 76056 78702 82394 104936 123591 152112 157404 164788 209872 247182 314808 329576 494364 629616 659152 988728 1977456 3197521 6395042 9592563 12790084 19185126 25580168 38370252 41567773 51160336 76740504 83135546 124703319 153481008 166271092 249406638 332542184 498813276 665084368 997626552 1995253104