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468152749 = 1737977673
BaseRepresentation
bin11011111001110…
…111000110101101
31012121220121211201
4123321313012231
51424321341444
6114242045501
714413142551
oct3371670655
91177817751
10468152749
112202950a9
12110949891
1375cb437c
1446265861
152b176dd4
hex1be771ad

468152749 has 16 divisors (see below), whose sum is σ = 514403568. Its totient is φ = 424230912.

The previous prime is 468152717. The next prime is 468152753. The reversal of 468152749 is 947251864.

It can be written as a sum of positive squares in 8 ways, for example, as 76825225 + 391327524 = 8765^2 + 19782^2 .

It is a cyclic number.

It is not a de Polignac number, because 468152749 - 25 = 468152717 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 468152699 and 468152708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468152149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57177 + ... + 64849.

It is an arithmetic number, because the mean of its divisors is an integer number (32150223).

Almost surely, 2468152749 is an apocalyptic number.

It is an amenable number.

468152749 is a deficient number, since it is larger than the sum of its proper divisors (46250819).

468152749 is a wasteful number, since it uses less digits than its factorization.

468152749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7824.

The product of its digits is 483840, while the sum is 46.

The square root of 468152749 is about 21636.8377772724. The cubic root of 468152749 is about 776.4780666735.

The spelling of 468152749 in words is "four hundred sixty-eight million, one hundred fifty-two thousand, seven hundred forty-nine".

Divisors: 1 17 37 97 629 1649 3589 7673 61013 130441 283901 744281 4826317 12652777 27538397 468152749