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2520462152 = 2313298091033
BaseRepresentation
bin1001011000111011…
…0011001101001000
320111122200202002002
42112032303031020
520130214242102
61054034130132
7116313401105
oct22616631510
96448622062
102520462152
11108380a57a
125a4120948
13312245030
1419ca59aac
15eb41d902
hex963b3348

2520462152 has 64 divisors (see below), whose sum is σ = 5276502000. Its totient is φ = 1120702464.

The previous prime is 2520462137. The next prime is 2520462173. The reversal of 2520462152 is 2512640252.

It can be written as a sum of positive squares in 8 ways, for example, as 2037077956 + 483384196 = 45134^2 + 21986^2 .

It is a super-2 number, since 2×25204621522 = 12705458919328942208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2439428 + ... + 2440460.

Almost surely, 22520462152 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 2520462152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2638251000).

2520462152 is an abundant number, since it is smaller than the sum of its proper divisors (2756039848).

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

2520462152 is a wasteful number, since it uses less digits than its factorization.

2520462152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 2520462152 is about 50204.2045251192. The cubic root of 2520462152 is about 1360.9016065920.

The spelling of 2520462152 in words is "two billion, five hundred twenty million, four hundred sixty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 377 754 809 1033 1508 1618 2066 3016 3236 4132 6472 8264 10517 13429 21034 23461 26858 29957 42068 46922 53716 59914 84136 93844 107432 119828 187688 239656 304993 389441 609986 778882 835697 1219972 1557764 1671394 2439944 3115528 3342788 6685576 10864061 21728122 24235213 43456244 48470426 86912488 96940852 193881704 315057769 630115538 1260231076 2520462152