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498145680 = 243352111093
BaseRepresentation
bin11101101100010…
…001100110010000
31021201100102102000
4131230101212100
52010011130210
6121232554000
715226111524
oct3554214620
91251312360
10498145680
1123621024a
1211a9b2900
137c286076
144a231d84
152daedac0
hex1db11990

498145680 has 160 divisors (see below), whose sum is σ = 1725544320. Its totient is φ = 132088320.

The previous prime is 498145657. The next prime is 498145691. The reversal of 498145680 is 86541894.

498145680 is a `hidden beast` number, since 4 + 9 + 81 + 4 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 455214 + ... + 456306.

It is an arithmetic number, because the mean of its divisors is an integer number (10784652).

Almost surely, 2498145680 is an apocalyptic number.

498145680 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 498145680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862772160).

498145680 is an abundant number, since it is smaller than the sum of its proper divisors (1227398640).

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

498145680 is a wasteful number, since it uses less digits than its factorization.

498145680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 498145680 is about 22319.1774041966. The cubic root of 498145680 is about 792.7181273542.

The spelling of 498145680 in words is "four hundred ninety-eight million, one hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 211 216 240 270 360 422 432 540 633 720 844 1055 1080 1093 1266 1688 1899 2110 2160 2186 2532 3165 3279 3376 3798 4220 4372 5064 5465 5697 6330 6558 7596 8440 8744 9495 9837 10128 10930 11394 12660 13116 15192 16395 16880 17488 18990 19674 21860 22788 25320 26232 28485 29511 30384 32790 37980 39348 43720 45576 49185 50640 52464 56970 59022 65580 75960 78696 87440 91152 98370 113940 118044 131160 147555 151920 157392 196740 227880 230623 236088 262320 295110 393480 455760 461246 472176 590220 691869 786960 922492 1153115 1180440 1383738 1844984 2075607 2306230 2360880 2767476 3459345 3689968 4151214 4612460 5534952 6226821 6918690 8302428 9224920 10378035 11069904 12453642 13837380 16604856 18449840 20756070 24907284 27674760 31134105 33209712 41512140 49814568 55349520 62268210 83024280 99629136 124536420 166048560 249072840 498145680