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498981072 = 243109283337
BaseRepresentation
bin11101101111011…
…101100011010000
31021202220212100110
4131233131203100
52010214343242
6121302521320
715236161212
oct3557354320
91252825313
10498981072
11236730957
1211b136240
137c4b9395
144a3ac5b2
152dc1639c
hex1dbdd8d0

498981072 has 80 divisors (see below), whose sum is σ = 1309330880. Its totient is φ = 163731456.

The previous prime is 498981023. The next prime is 498981079. The reversal of 498981072 is 270189894.

It is a super-2 number, since 2×4989810722 = 497964220428538368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498981079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1480488 + ... + 1480824.

It is an arithmetic number, because the mean of its divisors is an integer number (16366636).

Almost surely, 2498981072 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 498981072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654665440).

498981072 is an abundant number, since it is smaller than the sum of its proper divisors (810349808).

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

498981072 is a wasteful number, since it uses less digits than its factorization.

498981072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The square root of 498981072 is about 22337.8842328453. The cubic root of 498981072 is about 793.1610102065.

The spelling of 498981072 in words is "four hundred ninety-eight million, nine hundred eighty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 283 327 337 436 566 654 674 849 872 1011 1132 1308 1348 1698 1744 2022 2264 2616 2696 3396 4044 4528 5232 5392 6792 8088 13584 16176 30847 36733 61694 73466 92541 95371 110199 123388 146932 185082 190742 220398 246776 286113 293864 370164 381484 440796 493552 572226 587728 740328 762968 881592 1144452 1480656 1525936 1763184 2288904 4577808 10395439 20790878 31186317 41581756 62372634 83163512 124745268 166327024 249490536 498981072