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482537088 = 2734114231
BaseRepresentation
bin11100110000101…
…110111010000000
31020121222102110000
4130300232322000
51442012141323
6115514240000
714646332445
oct3460567200
91217872400
10482537088
1122841a290
12115726000
1378c7c707
144812b9cc
152c568e43
hex1cc2ee80

482537088 has 160 divisors (see below), whose sum is σ = 1566940320. Its totient is φ = 146188800.

The previous prime is 482537051. The next prime is 482537089. The reversal of 482537088 is 880735284.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482537089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 111933 + ... + 116163.

It is an arithmetic number, because the mean of its divisors is an integer number (9793377).

Almost surely, 2482537088 is an apocalyptic number.

482537088 is a gapful number since it is divisible by the number (48) 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 482537088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783470160).

482537088 is an abundant number, since it is smaller than the sum of its proper divisors (1084403232).

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

482537088 is a wasteful number, since it uses less digits than its factorization.

482537088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4268 (or 4247 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 482537088 is about 21966.7268385620. The cubic root of 482537088 is about 784.3505998198.

The spelling of 482537088 in words is "four hundred eighty-two million, five hundred thirty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 128 132 144 162 176 192 198 216 264 288 297 324 352 384 396 432 528 576 594 648 704 792 864 891 1056 1152 1188 1296 1408 1584 1728 1782 2112 2376 2592 3168 3456 3564 4224 4231 4752 5184 6336 7128 8462 9504 10368 12672 12693 14256 16924 19008 25386 28512 33848 38016 38079 46541 50772 57024 67696 76158 93082 101544 114048 114237 135392 139623 152316 186164 203088 228474 270784 279246 304632 342711 372328 406176 418869 456948 541568 558492 609264 685422 744656 812352 837738 913896 1116984 1218528 1256607 1370844 1489312 1624704 1675476 1827792 2233968 2437056 2513214 2741688 2978624 3350952 3655584 3769821 4467936 4874112 5026428 5483376 5957248 6701904 7311168 7539642 8935872 10052856 10966752 13403808 14622336 15079284 17871744 20105712 21933504 26807616 30158568 40211424 43867008 53615232 60317136 80422848 120634272 160845696 241268544 482537088