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498008064 = 216317149
BaseRepresentation
bin11101101011110…
…000000000000000
31021201002102122010
4131223300000000
52004442224224
6121230012520
715224666361
oct3553600000
91251072563
10498008064
11236126914
1211a947140
137c238538
144a1d7b68
152dac2e29
hex1daf0000

498008064 has 136 divisors (see below), whose sum is σ = 1415566800. Its totient is φ = 155189248.

The previous prime is 498008033. The next prime is 498008083. The reversal of 498008064 is 460800894.

It is a tau number, because it is divible by the number of its divisors (136).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3342262 + ... + 3342410.

Almost surely, 2498008064 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 498008064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707783400).

498008064 is an abundant number, since it is smaller than the sum of its proper divisors (917558736).

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

498008064 is an equidigital number, since it uses as much as digits as its factorization.

498008064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 498008064 is about 22316.0942819302. The cubic root of 498008064 is about 792.6451227765.

The spelling of 498008064 in words is "four hundred ninety-eight million, eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 149 192 204 256 272 298 384 408 447 512 544 596 768 816 894 1024 1088 1192 1536 1632 1788 2048 2176 2384 2533 3072 3264 3576 4096 4352 4768 5066 6144 6528 7152 7599 8192 8704 9536 10132 12288 13056 14304 15198 16384 17408 19072 20264 24576 26112 28608 30396 32768 34816 38144 40528 49152 52224 57216 60792 65536 69632 76288 81056 98304 104448 114432 121584 139264 152576 162112 196608 208896 228864 243168 278528 305152 324224 417792 457728 486336 557056 610304 648448 835584 915456 972672 1114112 1220608 1296896 1671168 1830912 1945344 2441216 2593792 3342336 3661824 3890688 4882432 5187584 7323648 7781376 9764864 10375168 14647296 15562752 20750336 29294592 31125504 41500672 62251008 83001344 124502016 166002688 249004032 498008064