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498121216 = 2917151379
BaseRepresentation
bin11101101100001…
…011101000000000
31021201022011211221
4131230023220000
52010004334331
6121232244424
715225650305
oct3554135000
91251264757
10498121216
112361a392a
1211a9a0714
137c277ba8
144a2270ac
152dae6711
hex1db0ba00

498121216 has 80 divisors (see below), whose sum is σ = 1063592640. Its totient is φ = 232243200.

The previous prime is 498121207. The next prime is 498121219. The reversal of 498121216 is 612121894.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

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

It is not an unprimeable number, because it can be changed into a prime (498121219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1314115 + ... + 1314493.

It is an arithmetic number, because the mean of its divisors is an integer number (13294908).

Almost surely, 2498121216 is an apocalyptic number.

498121216 is the 12886-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 498121216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531796320).

498121216 is an abundant number, since it is smaller than the sum of its proper divisors (565471424).

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

498121216 is a wasteful number, since it uses less digits than its factorization.

498121216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 549 counting only the distinct ones).

The product of its digits is 6912, while the sum is 34.

The square root of 498121216 is about 22318.6293485958. The cubic root of 498121216 is about 792.7051503112.

The spelling of 498121216 in words is "four hundred ninety-eight million, one hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 151 256 272 302 379 512 544 604 758 1088 1208 1516 2176 2416 2567 3032 4352 4832 5134 6064 6443 8704 9664 10268 12128 12886 19328 20536 24256 25772 38656 41072 48512 51544 57229 77312 82144 97024 103088 114458 164288 194048 206176 228916 328576 412352 457832 657152 824704 915664 972893 1314304 1649408 1831328 1945786 3298816 3662656 3891572 7325312 7783144 14650624 15566288 29301248 31132576 62265152 124530304 249060608 498121216