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487245132 = 223511199229
BaseRepresentation
bin11101000010101…
…100010101001100
31020221211121200000
4131002230111030
51444213321012
6120203204300
715034341513
oct3502542514
91227747600
10487245132
11230045530
12117216690
1379c3a63a
14489d567a
152cb98ddc
hex1d0ac54c

487245132 has 144 divisors (see below), whose sum is σ = 1406496000. Its totient is φ = 146266560.

The previous prime is 487245127. The next prime is 487245163. The reversal of 487245132 is 231542784.

It is a happy number.

487245132 is a `hidden beast` number, since 487 + 2 + 45 + 132 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2127594 + ... + 2127822.

Almost surely, 2487245132 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 487245132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703248000).

487245132 is an abundant number, since it is smaller than the sum of its proper divisors (919250868).

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

487245132 is a wasteful number, since it uses less digits than its factorization.

487245132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 444 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 487245132 is about 22073.6297875995. The cubic root of 487245132 is about 786.8932796180.

The spelling of 487245132 in words is "four hundred eighty-seven million, two hundred forty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 199 229 243 297 324 396 398 458 486 594 597 687 796 891 916 972 1188 1194 1374 1782 1791 2061 2189 2388 2519 2673 2748 3564 3582 4122 4378 5038 5346 5373 6183 6567 7164 7557 8244 8756 10076 10692 10746 12366 13134 15114 16119 18549 19701 21492 22671 24732 26268 30228 32238 37098 39402 45342 45571 48357 55647 59103 64476 68013 74196 78804 90684 91142 96714 111294 118206 136026 136713 177309 182284 193428 204039 222588 236412 272052 273426 354618 408078 410139 501281 531927 546852 612117 709236 816156 820278 1002562 1063854 1224234 1230417 1503843 1640556 2005124 2127708 2448468 2460834 3007686 3691251 4511529 4921668 6015372 7382502 9023058 11073753 13534587 14765004 18046116 22147506 27069174 40603761 44295012 54138348 81207522 121811283 162415044 243622566 487245132