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494075904 = 21637359
BaseRepresentation
bin11101011100110…
…000000000000000
31021102200122201120
4131130300000000
52002440412104
6121005432240
715146401350
oct3534600000
91242618646
10494075904
112339905a3
1211956b680
137b48c80a
1449892b60
152d597cd9
hex1d730000

494075904 has 136 divisors (see below), whose sum is σ = 1509937920. Its totient is φ = 140771328.

The previous prime is 494075887. The next prime is 494075921. The reversal of 494075904 is 409570494.

It is an interprime number because it is at equal distance from previous prime (494075887) and next prime (494075921).

It is a super-2 number, since 2×4940759042 = 488221997826834432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1376077 + ... + 1376435.

Almost surely, 2494075904 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 494075904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754968960).

494075904 is an abundant number, since it is smaller than the sum of its proper divisors (1015862016).

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

494075904 is an frugal number, since it uses more digits than its factorization.

494075904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 494075904 is about 22227.8182465126. The cubic root of 494075904 is about 790.5534251713.

The spelling of 494075904 in words is "four hundred ninety-four million, seventy-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 359 384 448 512 672 718 768 896 1024 1077 1344 1436 1536 1792 2048 2154 2513 2688 2872 3072 3584 4096 4308 5026 5376 5744 6144 7168 7539 8192 8616 10052 10752 11488 12288 14336 15078 16384 17232 20104 21504 22976 24576 28672 30156 32768 34464 40208 43008 45952 49152 57344 60312 65536 68928 80416 86016 91904 98304 114688 120624 137856 160832 172032 183808 196608 229376 241248 275712 321664 344064 367616 458752 482496 551424 643328 688128 735232 964992 1102848 1286656 1376256 1470464 1929984 2205696 2573312 2940928 3859968 4411392 5146624 5881856 7719936 8822784 10293248 11763712 15439872 17645568 20586496 23527424 30879744 35291136 41172992 61759488 70582272 82345984 123518976 164691968 247037952 494075904