[go: up one dir, main page]

Search a number
-
+
516063744 = 293375333
BaseRepresentation
bin11110110000101…
…000001000000000
31022222001202101000
4132300220020000
52024103014434
6123113012000
715534320010
oct3660501000
91288052330
10516063744
11245339369
121249b4000
1382bba981
144c777c40
153048cb99
hex1ec28200

516063744 has 160 divisors (see below), whose sum is σ = 1746138240. Its totient is φ = 147419136.

The previous prime is 516063707. The next prime is 516063749. The reversal of 516063744 is 447360615.

It is a happy number.

516063744 is a `hidden beast` number, since 5 + 1 + 606 + 3 + 7 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 516063699 and 516063708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516063749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94102 + ... + 99434.

It is an arithmetic number, because the mean of its divisors is an integer number (10913364).

Almost surely, 2516063744 is an apocalyptic number.

516063744 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516063744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873069120).

516063744 is an abundant number, since it is smaller than the sum of its proper divisors (1230074496).

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

516063744 is an equidigital number, since it uses as much as digits as its factorization.

516063744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5367 (or 5345 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 516063744 is about 22717.0364264356. The cubic root of 516063744 is about 802.1109582531.

The spelling of 516063744 in words is "five hundred sixteen million, sixty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 756 768 864 896 1008 1152 1344 1512 1536 1728 1792 2016 2304 2688 3024 3456 3584 4032 4608 5333 5376 6048 6912 8064 10666 10752 12096 13824 15999 16128 21332 24192 31998 32256 37331 42664 47997 48384 63996 74662 85328 95994 96768 111993 127992 143991 149324 170656 191988 223986 255984 287982 298648 335979 341312 383976 447972 511968 575964 597296 671958 682624 767952 895944 1007937 1023936 1151928 1194592 1343916 1365248 1535904 1791888 2015874 2047872 2303856 2389184 2687832 2730496 3071808 3583776 4031748 4095744 4607712 4778368 5375664 6143616 7167552 8063496 8191488 9215424 9556736 10751328 12287232 14335104 16126992 18430848 19113472 21502656 24574464 28670208 32253984 36861696 43005312 57340416 64507968 73723392 86010624 129015936 172021248 258031872 516063744