Search a number
-
+
2148936384 = 26371598911
BaseRepresentation
bin1000000000010110…
…0010101011000000
312112202121021112110
42000011202223000
513400111431014
6553123055320
7104152441440
oct20005425300
95482537473
102148936384
11a03022791
124bb811540
132832930ba
14165588120
15c89d1d59
hex80162ac0

2148936384 has 56 divisors (see below), whose sum is σ = 6497978368. Its totient is φ = 613981440.

The previous prime is 2148936373. The next prime is 2148936389. The reversal of 2148936384 is 4836398412.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2148936389) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 798112 + ... + 800799.

It is an arithmetic number, because the mean of its divisors is an integer number (116035328).

Almost surely, 22148936384 is an apocalyptic number.

2148936384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2148936384 is an abundant number, since it is smaller than the sum of its proper divisors (4349041984).

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

2148936384 is a wasteful number, since it uses less digits than its factorization.

2148936384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598933 (or 1598923 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 2148936384 is about 46356.6217923610. The cubic root of 2148936384 is about 1290.4500130578.

The spelling of 2148936384 in words is "two billion, one hundred forty-eight million, nine hundred thirty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1598911 3197822 4796733 6395644 9593466 11192377 12791288 19186932 22384754 25582576 33577131 38373864 44769508 51165152 67154262 76747728 89539016 102330304 134308524 153495456 179078032 268617048 306990912 358156064 537234096 716312128 1074468192 2148936384