Search a number
-
+
2424141024 = 25359427991
BaseRepresentation
bin1001000001111101…
…0111010011100000
320020221110010022220
42100133113103200
514431040003044
61040313431040
7114033600354
oct22037272340
96227403286
102424141024
111034401038
12577a0b480
132c82bbb96
1418dd45464
15e2c44019
hex907d74e0

2424141024 has 48 divisors (see below), whose sum is σ = 6471239040. Its totient is φ = 794349440.

The previous prime is 2424140969. The next prime is 2424141029. The reversal of 2424141024 is 4201414242.

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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 2424140985 and 2424141003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2424141029) 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, 208332 + ... + 219659.

It is an arithmetic number, because the mean of its divisors is an integer number (134817480).

Almost surely, 22424141024 is an apocalyptic number.

2424141024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2424141024 is an abundant number, since it is smaller than the sum of its proper divisors (4047098016).

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

2424141024 is a wasteful number, since it uses less digits than its factorization.

2424141024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428063 (or 428055 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2424141024 is about 49235.5666566355. The cubic root of 2424141024 is about 1343.3400423424.

Adding to 2424141024 its reverse (4201414242), we get a palindrome (6625555266).

The spelling of 2424141024 in words is "two billion, four hundred twenty-four million, one hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 5664 427991 855982 1283973 1711964 2567946 3423928 5135892 6847856 10271784 13695712 20543568 25251469 41087136 50502938 75754407 101005876 151508814 202011752 303017628 404023504 606035256 808047008 1212070512 2424141024