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2483415032 = 23767739067
BaseRepresentation
bin1001010000000101…
…1110011111111000
320102001222112222112
42110001132133320
520041223240112
61050232111452
7115353452030
oct22401363770
96361875875
102483415032
11106490651a
12593835588
13307673567
14197b748c0
15e8051a22
hex9405e7f8

2483415032 has 64 divisors (see below), whose sum is σ = 5475621120. Its totient is φ = 1033959168.

The previous prime is 2483414993. The next prime is 2483415037. The reversal of 2483415032 is 2305143842.

2483415032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24834150322 = 12334700442327122048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2483415032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2483415037) 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, 269363 + ... + 278429.

It is an arithmetic number, because the mean of its divisors is an integer number (85556580).

Almost surely, 22483415032 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 2483415032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737810560).

2483415032 is an abundant number, since it is smaller than the sum of its proper divisors (2992206088).

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

2483415032 is a wasteful number, since it uses less digits than its factorization.

2483415032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9220 (or 9216 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 2483415032 is about 49833.8743426597. The cubic root of 2483415032 is about 1354.2009117226.

Adding to 2483415032 its reverse (2305143842), we get a palindrome (4788558874).

The spelling of 2483415032 in words is "two billion, four hundred eighty-three million, four hundred fifteen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 56 67 73 134 146 268 292 469 511 536 584 938 1022 1876 2044 3752 4088 4891 9067 9782 18134 19564 34237 36268 39128 63469 68474 72536 126938 136948 253876 273896 507752 607489 661891 1214978 1323782 2429956 2647564 4252423 4633237 4859912 5295128 8504846 9266474 17009692 18532948 34019384 37065896 44346697 88693394 177386788 310426879 354773576 620853758 1241707516 2483415032