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464827740 = 223513245841
BaseRepresentation
bin11011101101001…
…011010101011100
31012101122200210020
4123231023111130
51422443441430
6114042512140
714342653626
oct3355132534
91171580706
10464827740
11219423a63
1210b805650
13753bbb00
1445a3bc16
152ac1bb10
hex1bb4b55c

464827740 has 72 divisors (see below), whose sum is σ = 1409366448. Its totient is φ = 114416640.

The previous prime is 464827739. The next prime is 464827763. The reversal of 464827740 is 47728464.

It is a Smith number, since the sum of its digits (42) 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 = 464827692 and 464827701.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12781 + ... + 33060.

It is an arithmetic number, because the mean of its divisors is an integer number (19574534).

Almost surely, 2464827740 is an apocalyptic number.

It is an amenable number.

464827740 is an abundant number, since it is smaller than the sum of its proper divisors (944538708).

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

464827740 is a wasteful number, since it uses less digits than its factorization.

464827740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45879 (or 45864 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The square root of 464827740 is about 21559.8640997572. The cubic root of 464827740 is about 774.6354108899.

The spelling of 464827740 in words is "four hundred sixty-four million, eight hundred twenty-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1690 2028 2535 3380 5070 10140 45841 91682 137523 183364 229205 275046 458410 550092 595933 687615 916820 1191866 1375230 1787799 2383732 2750460 2979665 3575598 5959330 7151196 7747129 8938995 11918660 15494258 17877990 23241387 30988516 35755980 38735645 46482774 77471290 92965548 116206935 154942580 232413870 464827740