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482674464 = 2534316007
BaseRepresentation
bin11100110001010…
…000011100100000
31020122020101220000
4130301100130200
51442031040324
6115521220000
714650444116
oct3461203440
91218211800
10482674464
11228503518
12115791600
1378cca0bc
1448165ab6
152c5949c9
hex1cc50720

482674464 has 120 divisors (see below), whose sum is σ = 1465567488. Its totient is φ = 155675520.

The previous prime is 482674453. The next prime is 482674513. The reversal of 482674464 is 464476284.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 77349 + ... + 83355.

Almost surely, 2482674464 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 482674464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732783744).

482674464 is an abundant number, since it is smaller than the sum of its proper divisors (982893024).

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

482674464 is a wasteful number, since it uses less digits than its factorization.

482674464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6060 (or 6043 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The square root of 482674464 is about 21969.8535270493. The cubic root of 482674464 is about 784.4250263782.

The spelling of 482674464 in words is "four hundred eighty-two million, six hundred seventy-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 248 279 288 324 372 432 496 558 648 744 837 864 992 1116 1296 1488 1674 2232 2511 2592 2976 3348 4464 5022 6007 6696 8928 10044 12014 13392 18021 20088 24028 26784 36042 40176 48056 54063 72084 80352 96112 108126 144168 162189 186217 192224 216252 288336 324378 372434 432504 486567 558651 576672 648756 744868 865008 973134 1117302 1297512 1489736 1675953 1730016 1946268 2234604 2595024 2979472 3351906 3892536 4469208 5027859 5190048 5958944 6703812 7785072 8938416 10055718 13407624 15083577 15570144 17876832 20111436 26815248 30167154 40222872 53630496 60334308 80445744 120668616 160891488 241337232 482674464