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2424111032 = 237532413389
BaseRepresentation
bin1001000001111100…
…1111111110111000
320020221101121012002
42100133033332320
514431033023112
61040313040132
7114033414050
oct22037177670
96227347162
102424111032
111034390552
125779b6048
132c82ab335
1418dd38560
15e2c3a1c2
hex907cffb8

2424111032 has 64 divisors (see below), whose sum is σ = 5316062400. Its totient is φ = 1014773760.

The previous prime is 2424110911. The next prime is 2424111037. The reversal of 2424111032 is 2301114242.

It is a junction number, because it is equal to n+sod(n) for n = 2424110995 and 2424111013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2424111037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 713594 + ... + 716982.

It is an arithmetic number, because the mean of its divisors is an integer number (83063475).

Almost surely, 22424111032 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 2424111032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658031200).

2424111032 is an abundant number, since it is smaller than the sum of its proper divisors (2891951368).

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

2424111032 is a wasteful number, since it uses less digits than its factorization.

2424111032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3696 (or 3692 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2424111032 is about 49235.2620791237. The cubic root of 2424111032 is about 1343.3345022878.

Adding to 2424111032 its reverse (2301114242), we get a palindrome (4725225274).

The spelling of 2424111032 in words is "two billion, four hundred twenty-four million, one hundred eleven thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 53 56 106 212 241 371 424 482 742 964 1484 1687 1928 2968 3374 3389 6748 6778 12773 13496 13556 23723 25546 27112 47446 51092 89411 94892 102184 178822 179617 189784 357644 359234 715288 718468 816749 1257319 1436936 1633498 2514638 3266996 5029276 5717243 6533992 10058552 11434486 22868972 43287697 45737944 86575394 173150788 303013879 346301576 606027758 1212055516 2424111032