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1995249888 = 25331926397
BaseRepresentation
bin111011011101101…
…0001100011100000
312011001102012022000
41312323101203200
513041240444023
6525553044000
7100305226032
oct16673214340
95131365260
101995249888
119342a2855
12478256600
1325a4a3248
1414cdbdc52
15ba275243
hex76ed18e0

1995249888 has 144 divisors (see below), whose sum is σ = 6142847760. Its totient is φ = 629980416.

The previous prime is 1995249877. The next prime is 1995249889. The reversal of 1995249888 is 8889425991.

1995249888 is a `hidden beast` number, since 1 + 99 + 52 + 498 + 8 + 8 = 666.

1995249888 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1995249889) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308706 + ... + 315102.

It is an arithmetic number, because the mean of its divisors is an integer number (42658665).

Almost surely, 21995249888 is an apocalyptic number.

1995249888 is a gapful number since it is divisible by the number (18) 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 1995249888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071423880).

1995249888 is an abundant number, since it is smaller than the sum of its proper divisors (4147597872).

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

1995249888 is a wasteful number, since it uses less digits than its factorization.

1995249888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6454 (or 6421 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 63.

The square root of 1995249888 is about 44668.2201122901. The cubic root of 1995249888 is about 1258.9227981596.

The spelling of 1995249888 in words is "one billion, nine hundred ninety-five million, two hundred forty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 361 432 456 513 608 684 722 864 912 1026 1083 1368 1444 1824 2052 2166 2736 2888 3249 4104 4332 5472 5776 6397 6498 8208 8664 9747 11552 12794 12996 16416 17328 19191 19494 25588 25992 34656 38382 38988 51176 51984 57573 76764 77976 102352 103968 115146 121543 153528 155952 172719 204704 230292 243086 307056 311904 345438 364629 460584 486172 614112 690876 729258 921168 972344 1093887 1381752 1458516 1842336 1944688 2187774 2309317 2763504 2917032 3281661 3889376 4375548 4618634 5527008 5834064 6563322 6927951 8751096 9237268 11668128 13126644 13855902 17502192 18474536 20783853 26253288 27711804 35004384 36949072 41567706 52506576 55423608 62351559 73898144 83135412 105013152 110847216 124703118 166270824 221694432 249406236 332541648 498812472 665083296 997624944 1995249888