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484715136 = 27347107251
BaseRepresentation
bin11100111001000…
…010101010000000
31020210002002011110
4130321002222000
51443041341021
6120033043320
715004003443
oct3471025200
91223062143
10484715136
11229677724
121163b6540
1379562bb9
144853765a
152c849476
hex1ce42a80

484715136 has 128 divisors (see below), whose sum is σ = 1332495360. Its totient is φ = 156032000.

The previous prime is 484715131. The next prime is 484715167. The reversal of 484715136 is 631517484.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 484715094 and 484715103.

It is not an unprimeable number, because it can be changed into a prime (484715131) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1931011 + ... + 1931261.

It is an arithmetic number, because the mean of its divisors is an integer number (10410120).

Almost surely, 2484715136 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 484715136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666247680).

484715136 is an abundant number, since it is smaller than the sum of its proper divisors (847780224).

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

484715136 is a wasteful number, since it uses less digits than its factorization.

484715136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 410 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 484715136 is about 22016.2470916367. The cubic root of 484715136 is about 785.5289474663.

The spelling of 484715136 in words is "four hundred eighty-four million, seven hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 107 128 141 188 192 214 251 282 321 376 384 428 502 564 642 752 753 856 1004 1128 1284 1504 1506 1712 2008 2256 2568 3008 3012 3424 4016 4512 5029 5136 6016 6024 6848 8032 9024 10058 10272 11797 12048 13696 15087 16064 18048 20116 20544 23594 24096 26857 30174 32128 35391 40232 41088 47188 48192 53714 60348 70782 80464 80571 94376 96384 107428 120696 141564 160928 161142 188752 214856 241392 283128 321856 322284 377504 429712 482784 566256 643712 644568 755008 859424 965568 1132512 1262279 1289136 1510016 1718848 1931136 2265024 2524558 2578272 3437696 3786837 4530048 5049116 5156544 7573674 10098232 10313088 15147348 20196464 30294696 40392928 60589392 80785856 121178784 161571712 242357568 484715136