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486285072 = 243713163683
BaseRepresentation
bin11100111111000…
…001111100010000
31020220000211201020
4130333001330100
51443442110242
6120130435440
715023232510
oct3477017420
91226024636
10486285072
1122a54a199
12116a32b80
1379992660
1448825840
152ca596ec
hex1cfc1f10

486285072 has 160 divisors (see below), whose sum is σ = 1557900288. Its totient is φ = 127277568.

The previous prime is 486285061. The next prime is 486285073. The reversal of 486285072 is 270582684.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (486285073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 711643 + ... + 712325.

Almost surely, 2486285072 is an apocalyptic number.

486285072 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 486285072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778950144).

486285072 is an abundant number, since it is smaller than the sum of its proper divisors (1071615216).

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

486285072 is a wasteful number, since it uses less digits than its factorization.

486285072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 486285072 is about 22051.8723014623. The cubic root of 486285072 is about 786.3761124938.

The spelling of 486285072 in words is "four hundred eighty-six million, two hundred eighty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 163 168 182 208 273 312 326 336 364 489 546 624 652 683 728 978 1092 1141 1304 1366 1456 1956 2049 2119 2184 2282 2608 2732 3423 3912 4098 4238 4368 4564 4781 5464 6357 6846 7824 8196 8476 8879 9128 9562 10928 12714 13692 14343 14833 16392 16952 17758 18256 19124 25428 26637 27384 28686 29666 32784 33904 35516 38248 44499 50856 53274 54768 57372 59332 62153 71032 76496 88998 101712 106548 111329 114744 118664 124306 142064 177996 186459 213096 222658 229488 237328 248612 333987 355992 372918 426192 445316 497224 667974 711984 745836 779303 890632 994448 1335948 1447277 1491672 1558606 1781264 2337909 2671896 2894554 2983344 3117212 4341831 4675818 5343792 5789108 6234424 8683662 9351636 10130939 11578216 12468848 17367324 18703272 20261878 23156432 30392817 34734648 37406544 40523756 60785634 69469296 81047512 121571268 162095024 243142536 486285072