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2413404032 = 27133739199
BaseRepresentation
bin1000111111011001…
…1001111110000000
320020012020121221112
42033312121332000
514420312412112
61035251342452
7113543411234
oct21766317600
96205217845
102413404032
111029338196
125742b1a28
132c5ccca30
1418c74c5c4
15e1d22a22
hex8fd99f80

2413404032 has 64 divisors (see below), whose sum is σ = 5317872000. Its totient is φ = 1083746304.

The previous prime is 2413404029. The next prime is 2413404043. The reversal of 2413404032 is 2304043142.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2413403989 and 2413404007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41969 + ... + 81167.

It is an arithmetic number, because the mean of its divisors is an integer number (83091750).

Almost surely, 22413404032 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 2413404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658936000).

2413404032 is an abundant number, since it is smaller than the sum of its proper divisors (2904467968).

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

2413404032 is a wasteful number, since it uses less digits than its factorization.

2413404032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39263 (or 39251 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2413404032 is about 49126.4087024484. The cubic root of 2413404032 is about 1341.3538022094.

Adding to 2413404032 its reverse (2304043142), we get a palindrome (4717447174).

The spelling of 2413404032 in words is "two billion, four hundred thirteen million, four hundred four thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 128 148 208 296 416 481 592 832 962 1184 1664 1924 2368 3848 4736 7696 15392 30784 39199 61568 78398 156796 313592 509587 627184 1019174 1254368 1450363 2038348 2508736 2900726 4076696 5017472 5801452 8153392 11602904 16306784 18854719 23205808 32613568 37709438 46411616 65227136 75418876 92823232 150837752 185646464 301675504 603351008 1206702016 2413404032