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2402112512 = 2101728117
BaseRepresentation
bin1000111100101101…
…0101010000000000
320012101222221220002
42033023111100000
514404420100022
61034205335132
7113345422322
oct21713252000
96171887802
102402112512
111022a25758
125705674a8
132c3878367
1418b04d612
15e0d42092
hex8f2d5400

2402112512 has 66 divisors (see below), whose sum is σ = 5101586622. Its totient is φ = 1130266624.

The previous prime is 2402112511. The next prime is 2402112521. The reversal of 2402112512 is 2152112042.

It can be written as a sum of positive squares in 3 ways, for example, as 1531626496 + 870486016 = 39136^2 + 29504^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2402112511) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 291878 + ... + 299994.

It is an arithmetic number, because the mean of its divisors is an integer number (77296767).

Almost surely, 22402112512 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 2402112512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550793311).

2402112512 is an abundant number, since it is smaller than the sum of its proper divisors (2699474110).

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

2402112512 is an equidigital number, since it uses as much as digits as its factorization.

2402112512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8171 (or 8136 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2402112512 is about 49011.3508485534. The cubic root of 2402112512 is about 1339.2586141685.

Adding to 2402112512 its reverse (2152112042), we get a palindrome (4554224554).

The spelling of 2402112512 in words is "two billion, four hundred two million, one hundred twelve thousand, five hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 512 544 578 1024 1088 1156 2176 2312 4352 4624 8117 8704 9248 16234 17408 18496 32468 36992 64936 73984 129872 137989 147968 259744 275978 295936 519488 551956 1038976 1103912 2077952 2207824 2345813 4155904 4415648 4691626 8311808 8831296 9383252 17662592 18766504 35325184 37533008 70650368 75066016 141300736 150132032 300264064 600528128 1201056256 2402112512