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468644352 = 2931127737
BaseRepresentation
bin11011111011101…
…111001000000000
31012122211121012020
4123323233020000
51424433104402
6114300401440
714420261031
oct3373571000
91178747166
10468644352
112205a0490
12110b46280
1376127067
1446352a88
152b2228bc
hex1beef200

468644352 has 80 divisors (see below), whose sum is σ = 1362046752. Its totient is φ = 142008320.

The previous prime is 468644299. The next prime is 468644357. The reversal of 468644352 is 253446864.

It is a super-2 number, since 2×4686443522 = 439255057322999808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (468644357) 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, 3028 + ... + 30764.

Almost surely, 2468644352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468644352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681023376).

468644352 is an abundant number, since it is smaller than the sum of its proper divisors (893402400).

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

468644352 is a wasteful number, since it uses less digits than its factorization.

468644352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27769 (or 27753 counting only the distinct ones).

The product of its digits is 552960, while the sum is 42.

The square root of 468644352 is about 21648.1951210719. The cubic root of 468644352 is about 776.7497624769.

It can be divided in two parts, 468644 and 352, that added together give a triangular number (468996 = T968).

The spelling of 468644352 in words is "four hundred sixty-eight million, six hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 2112 2816 4224 5632 8448 16896 27737 55474 83211 110948 166422 221896 305107 332844 443792 610214 665688 887584 915321 1220428 1331376 1775168 1830642 2440856 2662752 3550336 3661284 4881712 5325504 7100672 7322568 9763424 10651008 14201344 14645136 19526848 21302016 29290272 39053696 42604032 58580544 78107392 117161088 156214784 234322176 468644352