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493196000 = 25531121019
BaseRepresentation
bin11101011001011…
…001001011100000
31021101000221201112
4131121121023200
52002224233000
6120534522452
715136045133
oct3531311340
91241027645
10493196000
1123343a500
12119206428
137b24216b
144970421a
152d472235
hex1d6592e0

493196000 has 144 divisors (see below), whose sum is σ = 1333266480. Its totient is φ = 179168000.

The previous prime is 493195999. The next prime is 493196009. The reversal of 493196000 is 691394.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493196009) 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, 483491 + ... + 484509.

It is an arithmetic number, because the mean of its divisors is an integer number (9258795).

Almost surely, 2493196000 is an apocalyptic number.

493196000 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 493196000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666633240).

493196000 is an abundant number, since it is smaller than the sum of its proper divisors (840070480).

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

493196000 is a wasteful number, since it uses less digits than its factorization.

493196000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 493196000 is about 22208.0165705990. The cubic root of 493196000 is about 790.0838451841.

The spelling of 493196000 in words is "four hundred ninety-three million, one hundred ninety-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 121 125 160 176 200 220 242 250 275 352 400 440 484 500 550 605 800 880 968 1000 1019 1100 1210 1375 1760 1936 2000 2038 2200 2420 2750 3025 3872 4000 4076 4400 4840 5095 5500 6050 8152 8800 9680 10190 11000 11209 12100 15125 16304 19360 20380 22000 22418 24200 25475 30250 32608 40760 44000 44836 48400 50950 56045 60500 81520 89672 96800 101900 112090 121000 123299 127375 163040 179344 203800 224180 242000 246598 254750 280225 358688 407600 448360 484000 493196 509500 560450 616495 815200 896720 986392 1019000 1120900 1232990 1401125 1793440 1972784 2038000 2241800 2465980 2802250 3082475 3945568 4076000 4483600 4931960 5604500 6164950 8967200 9863920 11209000 12329900 15412375 19727840 22418000 24659800 30824750 44836000 49319600 61649500 98639200 123299000 246598000 493196000