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465241968 = 243639887
BaseRepresentation
bin11011101110110…
…000011101110000
31012102102202000000
4123232300131300
51423100220333
6114055430000
714346330402
oct3356603560
91172382000
10465241968
112196871a4
1210b985300
1375505509
1445b08b72
152ac9e713
hex1bbb0770

465241968 has 70 divisors (see below), whose sum is σ = 1351525104. Its totient is φ = 155076768.

The previous prime is 465241957. The next prime is 465241969. The reversal of 465241968 is 869142564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465241969) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 8280 + ... + 31607.

Almost surely, 2465241968 is an apocalyptic number.

465241968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

465241968 is an abundant number, since it is smaller than the sum of its proper divisors (886283136).

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

465241968 is an equidigital number, since it uses as much as digits as its factorization.

465241968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39913 (or 39892 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 465241968 is about 21569.4684218225. The cubic root of 465241968 is about 774.8654462207.

The spelling of 465241968 in words is "four hundred sixty-five million, two hundred forty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 11664 39887 79774 119661 159548 239322 319096 358983 478644 638192 717966 957288 1076949 1435932 1914576 2153898 2871864 3230847 4307796 5743728 6461694 8615592 9692541 12923388 17231184 19385082 25846776 29077623 38770164 51693552 58155246 77540328 116310492 155080656 232620984 465241968