Search a number
-
+
16097952 = 2531312899
BaseRepresentation
bin111101011010…
…001010100000
31010021212020110
4331122022200
513110113302
61333011320
7253554543
oct75321240
933255213
1016097952
1190a56a2
125483b40
133448320
1421d085a
15162eb6c
hexf5a2a0

16097952 has 48 divisors (see below), whose sum is σ = 45511200. Its totient is φ = 4952832.

The previous prime is 16097951. The next prime is 16097969. The reversal of 16097952 is 25979061.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 16097952.

It is not an unprimeable number, because it can be changed into a prime (16097951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5202 + ... + 7697.

It is an arithmetic number, because the mean of its divisors is an integer number (948150).

Almost surely, 216097952 is an apocalyptic number.

16097952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16097952 is an abundant number, since it is smaller than the sum of its proper divisors (29413248).

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

16097952 is a wasteful number, since it uses less digits than its factorization.

16097952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12925 (or 12917 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 16097952 is about 4012.2253177009. The cubic root of 16097952 is about 252.4973799682.

The spelling of 16097952 in words is "sixteen million, ninety-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 12899 25798 38697 51596 77394 103192 154788 167687 206384 309576 335374 412768 503061 619152 670748 1006122 1238304 1341496 2012244 2682992 4024488 5365984 8048976 16097952