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497104020 = 223357218787
BaseRepresentation
bin11101101000010…
…011010010010100
31021122101111112000
4131220103102110
52004224312040
6121154355300
715214212600
oct3550232224
91248344460
10497104020
11235669676
1211a58bb30
137bcacbba
144a040500
152d995130
hex1da13494

497104020 has 144 divisors (see below), whose sum is σ = 1799138880. Its totient is φ = 113617728.

The previous prime is 497104019. The next prime is 497104031. The reversal of 497104020 is 20401794.

It is a happy number.

It is a super-2 number, since 2×4971040202 = 494224813400320800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 17067 + ... + 35853.

It is an arithmetic number, because the mean of its divisors is an integer number (12494020).

Almost surely, 2497104020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 497104020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899569440).

497104020 is an abundant number, since it is smaller than the sum of its proper divisors (1302034860).

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

497104020 is a wasteful number, since it uses less digits than its factorization.

497104020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18819 (or 18804 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 497104020 is about 22295.8296548929. The cubic root of 497104020 is about 792.1651974044.

The spelling of 497104020 in words is "four hundred ninety-seven million, one hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 126 135 140 147 180 189 196 210 245 252 270 294 315 378 420 441 490 540 588 630 735 756 882 945 980 1260 1323 1470 1764 1890 2205 2646 2940 3780 4410 5292 6615 8820 13230 18787 26460 37574 56361 75148 93935 112722 131509 169083 187870 225444 263018 281805 338166 375740 394527 507249 526036 563610 657545 676332 789054 845415 920563 1014498 1127220 1183581 1315090 1578108 1690830 1841126 1972635 2028996 2367162 2536245 2630180 2761689 3381660 3550743 3682252 3945270 4602815 4734324 5072490 5523378 5917905 7101486 7890540 8285067 9205630 10144980 11046756 11835810 13808445 14202972 16570134 17753715 18411260 23671620 24855201 27616890 33140268 35507430 41425335 49710402 55233780 71014860 82850670 99420804 124276005 165701340 248552010 497104020