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489428352 = 2733720231
BaseRepresentation
bin11101001011000…
…001010110000000
31021002221112111000
4131023001112000
52000243201402
6120322052000
715062033550
oct3513012600
91232845430
10489428352
112312a6846
12117aaa000
137a52329a
1449003160
152ce7ac1c
hex1d2c1580

489428352 has 128 divisors (see below), whose sum is σ = 1650931200. Its totient is φ = 139829760.

The previous prime is 489428327. The next prime is 489428371. The reversal of 489428352 is 253824984.

489428352 is a `hidden beast` number, since 489 + 42 + 83 + 52 = 666.

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

It is a super-2 number, since 2×4894283522 = 479080223482871808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 489428298 and 489428307.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 14077 + ... + 34307.

It is an arithmetic number, because the mean of its divisors is an integer number (12897900).

Almost surely, 2489428352 is an apocalyptic number.

489428352 is a gapful number since it is divisible by the number (42) 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 489428352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825465600).

489428352 is an abundant number, since it is smaller than the sum of its proper divisors (1161502848).

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

489428352 is a wasteful number, since it uses less digits than its factorization.

489428352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20261 (or 20243 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 489428352 is about 22123.0276408994. The cubic root of 489428352 is about 788.0668173220.

The spelling of 489428352 in words is "four hundred eighty-nine million, four hundred twenty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 6048 8064 12096 20231 24192 40462 60693 80924 121386 141617 161848 182079 242772 283234 323696 364158 424851 485544 546237 566468 647392 728316 849702 971088 1092474 1132936 1274553 1294784 1456632 1699404 1942176 2184948 2265872 2549106 2589568 2913264 3398808 3823659 3884352 4369896 4531744 5098212 5826528 6797616 7647318 7768704 8739792 9063488 10196424 11653056 13595232 15294636 17479584 18126976 20392848 23306112 27190464 30589272 34959168 40785696 54380928 61178544 69918336 81571392 122357088 163142784 244714176 489428352