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498667104 = 2535134933
BaseRepresentation
bin11101101110010…
…000111001100000
31021202022220200000
4131232100321200
52010124321404
6121252100000
715233412645
oct3556207140
91252286600
10498667104
11236536a81
1211b004600
137c4094c0
144a329dcc
152dba3339
hex1db90e60

498667104 has 144 divisors (see below), whose sum is σ = 1584050832. Its totient is φ = 153404928.

The previous prime is 498667097. The next prime is 498667109. The reversal of 498667104 is 401766894.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4986671042 = 497337761223493632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 498667104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498667109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98622 + ... + 103554.

It is an arithmetic number, because the mean of its divisors is an integer number (11000353).

Almost surely, 2498667104 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 498667104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792025416).

498667104 is an abundant number, since it is smaller than the sum of its proper divisors (1085383728).

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

498667104 is a wasteful number, since it uses less digits than its factorization.

498667104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4971 (or 4951 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 498667104 is about 22330.8554247257. The cubic root of 498667104 is about 792.9946181734.

The spelling of 498667104 in words is "four hundred ninety-eight million, six hundred sixty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 243 288 312 324 351 416 432 468 486 624 648 702 864 936 972 1053 1248 1296 1404 1872 1944 2106 2592 2808 3159 3744 3888 4212 4933 5616 6318 7776 8424 9866 11232 12636 14799 16848 19732 25272 29598 33696 39464 44397 50544 59196 64129 78928 88794 101088 118392 128258 133191 157856 177588 192387 236784 256516 266382 355176 384774 399573 473568 513032 532764 577161 710352 769548 799146 1026064 1065528 1154322 1198719 1420704 1539096 1598292 1731483 2052128 2131056 2308644 2397438 3078192 3196584 3462966 4262112 4617288 4794876 5194449 6156384 6393168 6925932 9234576 9589752 10388898 12786336 13851864 15583347 18469152 19179504 20777796 27703728 31166694 38359008 41555592 55407456 62333388 83111184 124666776 166222368 249333552 498667104