Search a number
-
+
2419328512 = 29592832
BaseRepresentation
bin1001000000110100…
…0000011000000000
320020121101121210201
42100031000120000
514423322003022
61040022334544
7113644644616
oct22015003000
96217347721
102419328512
111031714357
1257628a454
132c72c5543
1418d4516b6
15e25e3127
hex90340600

2419328512 has 60 divisors (see below), whose sum is σ = 4933294740. Its totient is φ = 1184959488.

The previous prime is 2419328489. The next prime is 2419328519. The reversal of 2419328512 is 2158239142.

It is a super-2 number, since 2×24193285122 = 11706300897952268288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2419328519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8548723 + ... + 8549005.

It is an arithmetic number, because the mean of its divisors is an integer number (82221579).

Almost surely, 22419328512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2419328512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466647370).

2419328512 is an abundant number, since it is smaller than the sum of its proper divisors (2513966228).

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

2419328512 is an frugal number, since it uses more digits than its factorization.

2419328512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 344 counting only the distinct ones).

The product of its digits is 34560, while the sum is 37.

The square root of 2419328512 is about 49186.6700641546. The cubic root of 2419328512 is about 1342.4505007370.

The spelling of 2419328512 in words is "two billion, four hundred nineteen million, three hundred twenty-eight thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 283 472 512 566 944 1132 1888 2264 3776 4528 7552 9056 15104 16697 18112 30208 33394 36224 66788 72448 80089 133576 144896 160178 267152 320356 534304 640712 1068608 1281424 2137216 2562848 4274432 4725251 5125696 8548864 9450502 10251392 18901004 20502784 37802008 41005568 75604016 151208032 302416064 604832128 1209664256 2419328512