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482112440 = 23541734027
BaseRepresentation
bin11100101111000…
…111001110111000
31020121011211221022
4130233013032320
51441410044230
6115501202012
714642613425
oct3457071670
91217154838
10482112440
1122815a237
12115560308
1378b61344
144805ad4c
152c4d31e5
hex1cbc73b8

482112440 has 64 divisors (see below), whose sum is σ = 1126712160. Its totient is φ = 185518080.

The previous prime is 482112437. The next prime is 482112451. The reversal of 482112440 is 44211284.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117707 + ... + 121733.

Almost surely, 2482112440 is an apocalyptic number.

482112440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482112440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563356080).

482112440 is an abundant number, since it is smaller than the sum of its proper divisors (644599720).

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

482112440 is a wasteful number, since it uses less digits than its factorization.

482112440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4152 (or 4148 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 482112440 is about 21957.0590016058. The cubic root of 482112440 is about 784.1204477931.

The spelling of 482112440 in words is "four hundred eighty-two million, one hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 73 82 146 164 205 292 328 365 410 584 730 820 1460 1640 2920 2993 4027 5986 8054 11972 14965 16108 20135 23944 29930 32216 40270 59860 80540 119720 161080 165107 293971 330214 587942 660428 825535 1175884 1320856 1469855 1651070 2351768 2939710 3302140 5879420 6604280 11758840 12052811 24105622 48211244 60264055 96422488 120528110 241056220 482112440