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494312640 = 26353971297
BaseRepresentation
bin11101011101101…
…001110011000000
31021110010200110120
4131131221303000
52003021001030
6121014500240
715151405503
oct3535516300
91243120416
10494312640
11234032448
12119664680
137b5434b3
144991513a
152d5e3010
hex1d769cc0

494312640 has 112 divisors (see below), whose sum is σ = 1574608992. Its totient is φ = 131383296.

The previous prime is 494312593. The next prime is 494312657. The reversal of 494312640 is 46213494.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380472 + ... + 381768.

Almost surely, 2494312640 is an apocalyptic number.

494312640 is a gapful number since it is divisible by the number (40) 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 494312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787304496).

494312640 is an abundant number, since it is smaller than the sum of its proper divisors (1080296352).

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

494312640 is a wasteful number, since it uses less digits than its factorization.

494312640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 494312640 is about 22233.1428277695. The cubic root of 494312640 is about 790.6796693177.

The spelling of 494312640 in words is "four hundred ninety-four million, three hundred twelve thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 397 480 794 960 1191 1297 1588 1985 2382 2594 3176 3891 3970 4764 5188 5955 6352 6485 7782 7940 9528 10376 11910 12704 12970 15564 15880 19056 19455 20752 23820 25408 25940 31128 31760 38112 38910 41504 47640 51880 62256 63520 76224 77820 83008 95280 103760 124512 127040 155640 190560 207520 249024 311280 381120 415040 514909 622560 1029818 1245120 1544727 2059636 2574545 3089454 4119272 5149090 6178908 7723635 8238544 10298180 12357816 15447270 16477088 20596360 24715632 30894540 32954176 41192720 49431264 61789080 82385440 98862528 123578160 164770880 247156320 494312640