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2520606432 = 253233493271
BaseRepresentation
bin1001011000111101…
…0110011011100000
320111122222001222210
42112033112123200
520130233401212
61054041202120
7116314541541
oct22617263340
96448861883
102520606432
1110838a8a13
125a4190340
133122958c6
1419ca964c8
15eb44b53c
hex963d66e0

2520606432 has 96 divisors (see below), whose sum is σ = 6926169600. Its totient is φ = 801123840.

The previous prime is 2520606391. The next prime is 2520606433. The reversal of 2520606432 is 2346060252.

2520606432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2520606432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2520606433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 768957 + ... + 772227.

It is an arithmetic number, because the mean of its divisors is an integer number (72147600).

Almost surely, 22520606432 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 2520606432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3463084800).

2520606432 is an abundant number, since it is smaller than the sum of its proper divisors (4405563168).

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

2520606432 is a wasteful number, since it uses less digits than its factorization.

2520606432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3656 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2520606432 is about 50205.6414359980. The cubic root of 2520606432 is about 1360.9275736734.

Adding to 2520606432 its reverse (2346060252), we get a palindrome (4866666684).

The spelling of 2520606432 in words is "two billion, five hundred twenty million, six hundred six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 349 368 552 698 736 1047 1104 1396 2094 2208 2792 3271 4188 5584 6542 8027 8376 9813 11168 13084 16054 16752 19626 24081 26168 32108 33504 39252 48162 52336 64216 75233 78504 96324 104672 128432 150466 157008 192648 225699 256864 300932 314016 385296 451398 601864 770592 902796 1141579 1203728 1805592 2283158 2407456 3424737 3611184 4566316 6849474 7222368 9132632 13698948 18265264 26256317 27397896 36530528 52512634 54795792 78768951 105025268 109591584 157537902 210050536 315075804 420101072 630151608 840202144 1260303216 2520606432