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483625792 = 261317311103
BaseRepresentation
bin11100110100111…
…000101101000000
31020201000201212101
4130310320231000
51442302011132
6115553440144
714661515506
oct3464705500
91221021771
10483625792
11228aa3241
12115b70054
1379271110
1448332676
152c6d17e7
hex1cd38b40

483625792 has 112 divisors (see below), whose sum is σ = 1130637312. Its totient is φ = 203120640.

The previous prime is 483625781. The next prime is 483625799. The reversal of 483625792 is 297526384.

It is a super-3 number, since 3×4836257923 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483625799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 437913 + ... + 439015.

It is an arithmetic number, because the mean of its divisors is an integer number (10094976).

Almost surely, 2483625792 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 483625792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565318656).

483625792 is an abundant number, since it is smaller than the sum of its proper divisors (647011520).

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

483625792 is a wasteful number, since it uses less digits than its factorization.

483625792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1166 counting only the distinct ones).

The product of its digits is 725760, while the sum is 46.

The square root of 483625792 is about 21991.4936282191. The cubic root of 483625792 is about 784.9400427519.

It can be divided in two parts, 4836 and 25792, that added together give a triangular number (30628 = T247).

The spelling of 483625792 in words is "four hundred eighty-three million, six hundred twenty-five thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 13 16 17 26 31 32 34 52 62 64 68 104 124 136 208 221 248 272 403 416 442 496 527 544 806 832 884 992 1054 1088 1103 1612 1768 1984 2108 2206 3224 3536 4216 4412 6448 6851 7072 8432 8824 12896 13702 14144 14339 16864 17648 18751 25792 27404 28678 33728 34193 35296 37502 54808 57356 68386 70592 75004 109616 114712 136772 150008 219232 229424 243763 273544 300016 438464 444509 458848 487526 547088 581281 600032 889018 917696 975052 1094176 1162562 1200064 1778036 1950104 2188352 2325124 3556072 3900208 4650248 7112144 7556653 7800416 9300496 14224288 15113306 15600832 18600992 28448576 30226612 37201984 60453224 120906448 241812896 483625792