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482383680 = 26352917327
BaseRepresentation
bin11100110000001…
…001011101000000
31020121200122000020
4130300021131000
51441442234210
6115511053440
714645123262
oct3460113500
91217618006
10482383680
11228324aa9
12115671280
1378c2793c
14480cbb32
152c538770
hex1cc09740

482383680 has 112 divisors (see below), whose sum is σ = 1584472320. Its totient is φ = 124192768.

The previous prime is 482383673. The next prime is 482383697. The reversal of 482383680 is 86383284.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19177 + ... + 36503.

Almost surely, 2482383680 is an apocalyptic number.

482383680 is a gapful number since it is divisible by the number (40) 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 482383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792236160).

482383680 is an abundant number, since it is smaller than the sum of its proper divisors (1102088640).

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

482383680 is a wasteful number, since it uses less digits than its factorization.

482383680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17376 (or 17366 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 482383680 is about 21963.2347344375. The cubic root of 482383680 is about 784.2674708657.

The spelling of 482383680 in words is "four hundred eighty-two million, three hundred eighty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 145 160 174 192 232 240 290 320 348 435 464 480 580 696 870 928 960 1160 1392 1740 1856 2320 2784 3480 4640 5568 6960 9280 13920 17327 27840 34654 51981 69308 86635 103962 138616 173270 207924 259905 277232 346540 415848 502483 519810 554464 693080 831696 1004966 1039620 1108928 1386160 1507449 1663392 2009932 2079240 2512415 2772320 3014898 3326784 4019864 4158480 5024830 5544640 6029796 7537245 8039728 8316960 10049660 12059592 15074490 16079456 16633920 20099320 24119184 30148980 32158912 40198640 48238368 60297960 80397280 96476736 120595920 160794560 241191840 482383680