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498623040 = 2634519237
BaseRepresentation
bin11101101110000…
…110001001000000
31021202020200020000
4131232012021000
52010121414130
6121251120000
715233140326
oct3556061100
91252220200
10498623040
11236506963
1211aba3000
137c3c2426
144a317d16
152db95260
hex1db86240

498623040 has 140 divisors (see below), whose sum is σ = 1773782076. Its totient is φ = 132959232.

The previous prime is 498623033. The next prime is 498623053. The reversal of 498623040 is 40326894.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 115089984 + 383533056 = 10728^2 + 19584^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 498622986 and 498623004.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16302 + ... + 35538.

Almost surely, 2498623040 is an apocalyptic number.

498623040 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 498623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886891038).

498623040 is an abundant number, since it is smaller than the sum of its proper divisors (1275159036).

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

498623040 is a wasteful number, since it uses less digits than its factorization.

498623040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19266 (or 19247 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 498623040 is about 22329.8687860005. The cubic root of 498623040 is about 792.9712602098.

The spelling of 498623040 in words is "four hundred ninety-eight million, six hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 19237 25920 38474 57711 76948 96185 115422 153896 173133 192370 230844 288555 307792 346266 384740 461688 519399 577110 615584 692532 769480 865665 923376 1038798 1154220 1231168 1385064 1538960 1558197 1731330 1846752 2077596 2308440 2596995 2770128 3077920 3116394 3462660 3693504 4155192 4616880 5193990 5540256 6155840 6232788 6925320 7790985 8310384 9233760 10387980 11080512 12465576 13850640 15581970 16620768 18467520 20775960 24931152 27701280 31163940 33241536 41551920 49862304 55402560 62327880 83103840 99724608 124655760 166207680 249311520 498623040