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484568832 = 28311411399
BaseRepresentation
bin11100111000011…
…110111100000000
31020202210122110210
4130320132330000
51443022200312
6120025554120
715002524056
oct3470367400
91222718423
10484568832
11229587810
12116345940
1379511427
14484da1d6
152c81ae3c
hex1ce1ef00

484568832 has 144 divisors (see below), whose sum is σ = 1442246400. Its totient is φ = 143155200.

The previous prime is 484568813. The next prime is 484568839. The reversal of 484568832 is 238865484.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484568839) 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, 345669 + ... + 347067.

It is an arithmetic number, because the mean of its divisors is an integer number (10015600).

Almost surely, 2484568832 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 484568832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721123200).

484568832 is an abundant number, since it is smaller than the sum of its proper divisors (957677568).

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

484568832 is a wasteful number, since it uses less digits than its factorization.

484568832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1456 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 48.

The square root of 484568832 is about 22012.9242037490. The cubic root of 484568832 is about 785.4499061330.

The spelling of 484568832 in words is "four hundred eighty-four million, five hundred sixty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 64 66 82 88 96 123 128 132 164 176 192 246 256 264 328 352 384 451 492 528 656 704 768 902 984 1056 1312 1353 1399 1408 1804 1968 2112 2624 2706 2798 2816 3608 3936 4197 4224 5248 5412 5596 7216 7872 8394 8448 10496 10824 11192 14432 15389 15744 16788 21648 22384 28864 30778 31488 33576 43296 44768 46167 57359 57728 61556 67152 86592 89536 92334 114718 115456 123112 134304 172077 173184 179072 184668 229436 246224 268608 344154 346368 358144 369336 458872 492448 537216 630949 688308 738672 917744 984896 1074432 1261898 1376616 1477344 1835488 1892847 1969792 2523796 2753232 2954688 3670976 3785694 3939584 5047592 5506464 5909376 7341952 7571388 10095184 11012928 11818752 14683904 15142776 20190368 22025856 30285552 40380736 44051712 60571104 80761472 121142208 161522944 242284416 484568832