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63483480 = 23335431367
BaseRepresentation
bin1111001000101…
…0111001011000
311102110021222000
43302022321120
5112222432410
610144401000
71400413014
oct362127130
9142407860
1063483480
1132920095
1219316160
13101c96b8
148607544
15588edc0
hex3c8ae58

63483480 has 128 divisors (see below), whose sum is σ = 216691200. Its totient is φ = 16523136.

The previous prime is 63483467. The next prime is 63483499. The reversal of 63483480 is 8438436.

63483480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 45757 + ... + 47123.

It is an arithmetic number, because the mean of its divisors is an integer number (1692900).

Almost surely, 263483480 is an apocalyptic number.

63483480 is a gapful number since it is divisible by the number (60) 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 63483480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108345600).

63483480 is an abundant number, since it is smaller than the sum of its proper divisors (153207720).

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

63483480 is a wasteful number, since it uses less digits than its factorization.

63483480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 63483480 is about 7967.6521008387. The cubic root of 63483480 is about 398.9210087283.

The spelling of 63483480 in words is "sixty-three million, four hundred eighty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 43 45 54 60 72 86 90 108 120 129 135 172 180 215 216 258 270 344 360 387 430 516 540 645 774 860 1032 1080 1161 1290 1367 1548 1720 1935 2322 2580 2734 3096 3870 4101 4644 5160 5468 5805 6835 7740 8202 9288 10936 11610 12303 13670 15480 16404 20505 23220 24606 27340 32808 36909 41010 46440 49212 54680 58781 61515 73818 82020 98424 117562 123030 147636 164040 176343 184545 235124 246060 293905 295272 352686 369090 470248 492120 529029 587810 705372 738180 881715 1058058 1175620 1410744 1476360 1587087 1763430 2116116 2351240 2645145 3174174 3526860 4232232 5290290 6348348 7053720 7935435 10580580 12696696 15870870 21161160 31741740 63483480