Search a number
-
+
2154800544 = 253131726603
BaseRepresentation
bin1000000001101111…
…1010010110100000
312120011122012122120
42000123322112200
513403112104134
6553452504240
7104253334221
oct20033722640
95504565576
102154800544
11a063685a6
1250177b080
13284567310
14166273248
15c928e649
hex806fa5a0

2154800544 has 48 divisors (see below), whose sum is σ = 6091458912. Its totient is φ = 663015168.

The previous prime is 2154800533. The next prime is 2154800567. The reversal of 2154800544 is 4450084512.

It is a happy number.

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 862054 + ... + 864549.

It is an arithmetic number, because the mean of its divisors is an integer number (126905394).

Almost surely, 22154800544 is an apocalyptic number.

2154800544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2154800544 is an abundant number, since it is smaller than the sum of its proper divisors (3936658368).

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

2154800544 is a wasteful number, since it uses less digits than its factorization.

2154800544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726629 (or 1726621 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

The square root of 2154800544 is about 46419.8292112326. The cubic root of 2154800544 is about 1291.6227687743.

The spelling of 2154800544 in words is "two billion, one hundred fifty-four million, eight hundred thousand, five hundred forty-four".

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 1726603 3453206 5179809 6906412 10359618 13812824 20719236 22445839 27625648 41438472 44891678 55251296 67337517 82876944 89783356 134675034 165753888 179566712 269350068 359133424 538700136 718266848 1077400272 2154800544