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493160640 = 2635773387
BaseRepresentation
bin11101011001010…
…000100011000000
31021100222011012220
4131121100203000
52002222120030
6120534051040
715135540060
oct3531204300
91240864186
10493160640
11233415985
121191a9a80
137b22c03b
14496d53a0
152d466a10
hex1d6508c0

493160640 has 112 divisors (see below), whose sum is σ = 1789492992. Its totient is φ = 112720896.

The previous prime is 493160639. The next prime is 493160653. The reversal of 493160640 is 46061394.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29974 + ... + 43413.

It is an arithmetic number, because the mean of its divisors is an integer number (15977616).

Almost surely, 2493160640 is an apocalyptic number.

493160640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

493160640 is an abundant number, since it is smaller than the sum of its proper divisors (1296332352).

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

493160640 is a wasteful number, since it uses less digits than its factorization.

493160640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73414 (or 73404 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 493160640 is about 22207.2204474130. The cubic root of 493160640 is about 790.0649628788.

The spelling of 493160640 in words is "four hundred ninety-three million, one hundred sixty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 73387 146774 220161 293548 366935 440322 513709 587096 733870 880644 1027418 1100805 1174192 1467740 1541127 1761288 2054836 2201610 2348384 2568545 2935480 3082254 3522576 4109672 4403220 4696768 5137090 5870960 6164508 7045152 7705635 8219344 8806440 10274180 11741920 12329016 14090304 15411270 16438688 17612880 20548360 23483840 24658032 30822540 32877376 35225760 41096720 49316064 61645080 70451520 82193440 98632128 123290160 164386880 246580320 493160640