Search a number
-
+
2402052144 = 243613132621
BaseRepresentation
bin1000111100101100…
…0110100000110000
320012101212220002020
42033023012200300
514404411132034
61034204151440
7113345051322
oct21713064060
96171786066
102402052144
111022994368
12570538580
132c3856a3b
1418b035612
15e0d2e249
hex8f2c6830

2402052144 has 80 divisors (see below), whose sum is σ = 6329591904. Its totient is φ = 784742400.

The previous prime is 2402052139. The next prime is 2402052157. The reversal of 2402052144 is 4412502042.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 915154 + ... + 917774.

Almost surely, 22402052144 is an apocalyptic number.

2402052144 is a gapful number since it is divisible by the number (24) 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 2402052144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164795952).

2402052144 is an abundant number, since it is smaller than the sum of its proper divisors (3927539760).

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

2402052144 is a wasteful number, since it uses less digits than its factorization.

2402052144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2402052144 is about 49010.7349873474. The cubic root of 2402052144 is about 1339.2473950102.

Adding to 2402052144 its reverse (4412502042), we get a palindrome (6814554186).

The spelling of 2402052144 in words is "two billion, four hundred two million, fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 313 366 488 626 732 939 976 1252 1464 1878 2504 2621 2928 3756 5008 5242 7512 7863 10484 15024 15726 19093 20968 31452 38186 41936 57279 62904 76372 114558 125808 152744 159881 229116 305488 319762 458232 479643 639524 820373 916464 959286 1279048 1640746 1918572 2461119 2558096 3281492 3837144 4922238 6562984 7674288 9844476 13125968 19688952 39377904 50042753 100085506 150128259 200171012 300256518 400342024 600513036 800684048 1201026072 2402052144