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468029956 = 222923732
BaseRepresentation
bin11011111001011…
…001001000000100
31012121200101101211
4123321121020010
51424303424311
6114235301204
714412121552
oct3371311004
91177611354
10468029956
11220210919
121108aa804
1375c70504
1446232bd2
152b150821
hex1be59204

468029956 has 27 divisors (see below), whose sum is σ = 850549791. Its totient is φ = 225339744.

The previous prime is 468029951. The next prime is 468029963. The reversal of 468029956 is 659920864.

The square root of 468029956 is 21634.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2160900 + 465869056 = 1470^2 + 21584^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (468029951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1254586 + ... + 1254958.

Almost surely, 2468029956 is an apocalyptic number.

468029956 is the 21634-th square number.

It is an amenable number.

468029956 is a deficient number, since it is larger than the sum of its proper divisors (382519835).

468029956 is an equidigital number, since it uses as much as digits as its factorization.

468029956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The cubic root of 468029956 is about 776.4101725878.

Multiplying 468029956 by its sum of digits (49), we get a square (22933467844 = 1514382).

The spelling of 468029956 in words is "four hundred sixty-eight million, twenty-nine thousand, nine hundred fifty-six".

Divisors: 1 2 4 29 58 116 373 746 841 1492 1682 3364 10817 21634 43268 139129 278258 313693 556516 627386 1254772 4034741 8069482 16138964 117007489 234014978 468029956