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1995048 = 2332112229
BaseRepresentation
bin111100111000100101000
310202100200200
413213010220
51002320143
6110432200
722646316
oct7470450
93670620
101995048
111142a00
12802660
1354b103
1439d0b6
152961d3
hex1e7128

1995048 has 72 divisors (see below), whose sum is σ = 5965050. Its totient is φ = 601920.

The previous prime is 1995031. The next prime is 1995061. The reversal of 1995048 is 8405991.

It can be written as a sum of positive squares in only one way, i.e., 1258884 + 736164 = 1122^2 + 858^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8598 + ... + 8826.

21995048 is an apocalyptic number.

1995048 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 1995048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2982525).

1995048 is an abundant number, since it is smaller than the sum of its proper divisors (3970002).

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

1995048 is a wasteful number, since it uses less digits than its factorization.

1995048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1995048 is about 1412.4616808962. The cubic root of 1995048 is about 125.8880335646. Note that the first 3 decimals are identical.

The spelling of 1995048 in words is "one million, nine hundred ninety-five thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 229 242 264 363 396 458 484 687 726 792 916 968 1089 1374 1452 1832 2061 2178 2519 2748 2904 4122 4356 5038 5496 7557 8244 8712 10076 15114 16488 20152 22671 27709 30228 45342 55418 60456 83127 90684 110836 166254 181368 221672 249381 332508 498762 665016 997524 1995048