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498734712 = 233371719403
BaseRepresentation
bin11101101110100…
…001011001111000
31021202110100102000
4131232201121320
52010134002322
6121253341000
715234114030
oct3556413170
91252410360
10498734712
11236582853
1211b037760
137c4311c8
144a3468c0
152dbb83ac
hex1dba1678

498734712 has 128 divisors (see below), whose sum is σ = 1676505600. Its totient is φ = 134106624.

The previous prime is 498734711. The next prime is 498734713. The reversal of 498734712 is 217437894.

It is an interprime number because it is at equal distance from previous prime (498734711) and next prime (498734713).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498734711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16003 + ... + 35405.

It is an arithmetic number, because the mean of its divisors is an integer number (13097700).

Almost surely, 2498734712 is an apocalyptic number.

498734712 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 498734712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838252800).

498734712 is an abundant number, since it is smaller than the sum of its proper divisors (1177770888).

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

498734712 is a wasteful number, since it uses less digits than its factorization.

498734712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19442 (or 19432 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 498734712 is about 22332.3691533164. The cubic root of 498734712 is about 793.0304539424.

The spelling of 498734712 in words is "four hundred ninety-eight million, seven hundred thirty-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 84 102 108 119 126 136 153 168 189 204 216 238 252 306 357 378 408 459 476 504 612 714 756 918 952 1071 1224 1428 1512 1836 2142 2856 3213 3672 4284 6426 8568 12852 19403 25704 38806 58209 77612 116418 135821 155224 174627 232836 271642 329851 349254 407463 465672 523881 543284 659702 698508 814926 989553 1047762 1086568 1222389 1319404 1397016 1629852 1979106 2095524 2308957 2444778 2638808 2968659 3259704 3667167 3958212 4191048 4617914 4889556 5937318 6926871 7334334 7916424 8905977 9235828 9779112 11874636 13853742 14668668 17811954 18471656 20780613 23749272 27707484 29337336 35623908 41561226 55414968 62341839 71247816 83122452 124683678 166244904 249367356 498734712