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486466992 = 243311167613
BaseRepresentation
bin11100111111101…
…110010110110000
31020220101002021000
4130333232112300
51444013420432
6120134402000
715024621054
oct3477562660
91226332230
10486466992
1122a663940
12116b00300
1379a273bb
1448871c64
152ca9357c
hex1cfee5b0

486466992 has 160 divisors (see below), whose sum is σ = 1534901760. Its totient is φ = 146292480.

The previous prime is 486466991. The next prime is 486466993. The reversal of 486466992 is 299664684.

It is an interprime number because it is at equal distance from previous prime (486466991) and next prime (486466993).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (486466991) 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, 793278 + ... + 793890.

It is an arithmetic number, because the mean of its divisors is an integer number (9593136).

Almost surely, 2486466992 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 486466992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767450880).

486466992 is an abundant number, since it is smaller than the sum of its proper divisors (1048434768).

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

486466992 is a wasteful number, since it uses less digits than its factorization.

486466992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 796 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 486466992 is about 22055.9967355819. The cubic root of 486466992 is about 786.4741617760.

The spelling of 486466992 in words is "four hundred eighty-six million, four hundred sixty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 167 176 198 216 264 297 334 396 432 501 528 594 613 668 792 1002 1188 1226 1336 1503 1584 1837 1839 2004 2376 2452 2672 3006 3674 3678 4008 4509 4752 4904 5511 5517 6012 6743 7348 7356 8016 9018 9808 11022 11034 12024 13486 14696 14712 16533 16551 18036 20229 22044 22068 24048 26972 29392 29424 33066 33102 36072 40458 44088 44136 49599 53944 60687 66132 66204 72144 80916 88176 88272 99198 102371 107888 121374 132264 132408 161832 182061 198396 204742 242748 264528 264816 307113 323664 364122 396792 409484 485496 614226 728244 793584 818968 921339 970992 1126081 1228452 1456488 1637936 1842678 2252162 2456904 2764017 2912976 3378243 3685356 4504324 4913808 5528034 6756486 7370712 9008648 10134729 11056068 13512972 14741424 18017296 20269458 22112136 27025944 30404187 40538916 44224272 54051888 60808374 81077832 121616748 162155664 243233496 486466992