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482290416 = 243329137281
BaseRepresentation
bin11100101111110…
…010101011110000
31020121111220002000
4130233302223300
51441431243131
6115505054000
714644254336
oct3457625360
91217456060
10482290416
11228270a23
12115627300
1378bc435a
14480a5b56
152c51ace6
hex1cbf2af0

482290416 has 160 divisors (see below), whose sum is σ = 1447675200. Its totient is φ = 153538560.

The previous prime is 482290411. The next prime is 482290423. The reversal of 482290416 is 614092284.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482290411) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1716196 + ... + 1716476.

It is an arithmetic number, because the mean of its divisors is an integer number (9047970).

Almost surely, 2482290416 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 482290416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723837600).

482290416 is an abundant number, since it is smaller than the sum of its proper divisors (965384784).

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

482290416 is a wasteful number, since it uses less digits than its factorization.

482290416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 482290416 is about 21961.1114472834. Note that the first 3 decimals coincide. The cubic root of 482290416 is about 784.2169242166.

The spelling of 482290416 in words is "four hundred eighty-two million, two hundred ninety thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 137 144 174 216 232 261 274 281 348 411 432 464 522 548 562 696 783 822 843 1044 1096 1124 1233 1392 1566 1644 1686 2088 2192 2248 2466 2529 3132 3288 3372 3699 3973 4176 4496 4932 5058 6264 6576 6744 7398 7587 7946 8149 9864 10116 11919 12528 13488 14796 15174 15892 16298 19728 20232 23838 24447 29592 30348 31784 32596 35757 38497 40464 47676 48894 59184 60696 63568 65192 71514 73341 76994 95352 97788 107271 115491 121392 130384 143028 146682 153988 190704 195576 214542 220023 230982 286056 293364 307976 346473 391152 429084 440046 461964 572112 586728 615952 692946 858168 880092 923928 1039419 1116413 1173456 1385892 1716336 1760184 1847856 2078838 2232826 2771784 3349239 3520368 4157676 4465652 5543568 6698478 8315352 8931304 10047717 13396956 16630704 17862608 20095434 26793912 30143151 40190868 53587824 60286302 80381736 120572604 160763472 241145208 482290416