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468049968 = 24331083449
BaseRepresentation
bin11011111001011…
…110000000110000
31012121201101212000
4123321132000300
51424310044333
6114235534000
714412234111
oct3371360060
91177641760
10468049968
11220224961
121108ba300
1375c79659
144623a208
152b156713
hex1be5e030

468049968 has 40 divisors (see below), whose sum is σ = 1343478000. Its totient is φ = 156016512.

The previous prime is 468049961. The next prime is 468049987. The reversal of 468049968 is 869940864.

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

It is not an unprimeable number, because it can be changed into a prime (468049961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 541293 + ... + 542156.

It is an arithmetic number, because the mean of its divisors is an integer number (33586950).

Almost surely, 2468049968 is an apocalyptic number.

468049968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

468049968 is an abundant number, since it is smaller than the sum of its proper divisors (875428032).

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

468049968 is a wasteful number, since it uses less digits than its factorization.

468049968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083466 (or 1083454 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 468049968 is about 21634.4625077676. The cubic root of 468049968 is about 776.4212383317.

The spelling of 468049968 in words is "four hundred sixty-eight million, forty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1083449 2166898 3250347 4333796 6500694 8667592 9751041 13001388 17335184 19502082 26002776 29253123 39004164 52005552 58506246 78008328 117012492 156016656 234024984 468049968