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464997750 = 23537212653
BaseRepresentation
bin11011101101110…
…100110101110110
31012101222022222220
4123231310311312
51423014412000
6114050303210
714344262400
oct3355646566
91171868886
10464997750
1121952a768
1210b887b06
137544b2c9
1445a83b70
152ac521a0
hex1bb74d76

464997750 has 96 divisors (see below), whose sum is σ = 1350232416. Its totient is φ = 106276800.

The previous prime is 464997653. The next prime is 464997751. The reversal of 464997750 is 57799464.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 464997693 and 464997702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464997751) 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 47 ways as a sum of consecutive naturals, for example, 30424 + ... + 43076.

It is an arithmetic number, because the mean of its divisors is an integer number (14064921).

Almost surely, 2464997750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464997750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675116208).

464997750 is an abundant number, since it is smaller than the sum of its proper divisors (885234666).

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

464997750 is a wasteful number, since it uses less digits than its factorization.

464997750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12687 (or 12670 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The square root of 464997750 is about 21563.8064821589. The cubic root of 464997750 is about 774.7298399313.

The spelling of 464997750 in words is "four hundred sixty-four million, nine hundred ninety-seven thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 125 147 150 175 210 245 250 294 350 375 490 525 735 750 875 1050 1225 1470 1750 2450 2625 3675 5250 6125 7350 12250 12653 18375 25306 36750 37959 63265 75918 88571 126530 177142 189795 265713 316325 379590 442855 531426 619997 632650 885710 948975 1239994 1328565 1581625 1859991 1897950 2214275 2657130 3099985 3163250 3719982 4428550 4744875 6199970 6642825 9299955 9489750 11071375 13285650 15499925 18599910 22142750 30999850 33214125 46499775 66428250 77499625 92999550 154999250 232498875 464997750