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468132750 = 23353223311
BaseRepresentation
bin11011111001110…
…010001110001110
31012121212121102000
4123321302032032
51424320222000
6114241413130
714413030341
oct3371621616
91177777360
10468132750
11220281078
1211093a1a6
1375ca8237
144625c458
152b171000
hex1be7238e

468132750 has 128 divisors (see below), whose sum is σ = 1308303360. Its totient is φ = 123876000.

The previous prime is 468132739. The next prime is 468132751. The reversal of 468132750 is 57231864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468132751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1505095 + ... + 1505405.

It is an arithmetic number, because the mean of its divisors is an integer number (10221120).

Almost surely, 2468132750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468132750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654151680).

468132750 is an abundant number, since it is smaller than the sum of its proper divisors (840170610).

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

468132750 is a wasteful number, since it uses less digits than its factorization.

468132750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 468132750 is about 21636.3756206995. The cubic root of 468132750 is about 776.4670097368.

The spelling of 468132750 in words is "four hundred sixty-eight million, one hundred thirty-two thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 125 135 150 223 225 250 270 311 375 446 450 622 669 675 750 933 1115 1125 1338 1350 1555 1866 2007 2230 2250 2799 3110 3345 3375 4014 4665 5575 5598 6021 6690 6750 7775 8397 9330 10035 11150 12042 13995 15550 16725 16794 20070 23325 27875 27990 30105 33450 38875 41985 46650 50175 55750 60210 69353 69975 77750 83625 83970 100350 116625 138706 139950 150525 167250 208059 209925 233250 250875 301050 346765 349875 416118 419850 501750 624177 693530 699750 752625 1040295 1049625 1248354 1505250 1733825 1872531 2080590 2099250 3120885 3467650 3745062 5201475 6241770 8669125 9362655 10402950 15604425 17338250 18725310 26007375 31208850 46813275 52014750 78022125 93626550 156044250 234066375 468132750