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486769968 = 243219177913
BaseRepresentation
bin11101000000111…
…000010100110000
31020220221110212100
4131000320110300
51444103114333
6120145100400
715030322266
oct3500702460
91226843770
10486769968
1122a850533
12117027700
1379b02289
1448910436
152cb03213
hex1d038530

486769968 has 60 divisors (see below), whose sum is σ = 1433986840. Its totient is φ = 153715968.

The previous prime is 486769963. The next prime is 486769973. The reversal of 486769968 is 869967684.

486769968 is a `hidden beast` number, since 486 + 7 + 6 + 99 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (486769963) and next prime (486769973).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486769961) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 86221 + ... + 91692.

Almost surely, 2486769968 is an apocalyptic number.

486769968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

486769968 is an abundant number, since it is smaller than the sum of its proper divisors (947216872).

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

486769968 is a wasteful number, since it uses less digits than its factorization.

486769968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177946 (or 177937 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The square root of 486769968 is about 22062.8640026629. The cubic root of 486769968 is about 786.6374022757.

The spelling of 486769968 in words is "four hundred eighty-six million, seven hundred sixty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 177913 355826 533739 711652 1067478 1423304 1601217 2134956 2846608 3202434 3380347 4269912 6404868 6760694 8539824 10141041 12809736 13521388 20282082 25619472 27042776 30423123 40564164 54085552 60846246 81128328 121692492 162256656 243384984 486769968