Search a number
-
+
494855040 = 27351715161
BaseRepresentation
bin11101011111101…
…110001110000000
31021111011020111110
4131133232032000
52003140330130
6121034243320
715156125031
oct3537561600
91244136443
10494855040
11234372a09
12119886540
137b6a3344
1449a16a88
152d69dab0
hex1d7ee380

494855040 has 128 divisors (see below), whose sum is σ = 1670245920. Its totient is φ = 124190720.

The previous prime is 494855029. The next prime is 494855083. The reversal of 494855040 is 40558494.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4948550402 = 489763021226803200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 494855040.

It is a congruent number.

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, 25060 + ... + 40220.

Almost surely, 2494855040 is an apocalyptic number.

494855040 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 494855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835122960).

494855040 is an abundant number, since it is smaller than the sum of its proper divisors (1175390880).

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

494855040 is a wasteful number, since it uses less digits than its factorization.

494855040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15200 (or 15188 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 494855040 is about 22245.3374890110. The cubic root of 494855040 is about 790.9687629343.

The spelling of 494855040 in words is "four hundred ninety-four million, eight hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 680 816 960 1020 1088 1360 1632 1920 2040 2176 2720 3264 4080 5440 6528 8160 10880 15161 16320 30322 32640 45483 60644 75805 90966 121288 151610 181932 227415 242576 257737 303220 363864 454830 485152 515474 606440 727728 773211 909660 970304 1030948 1212880 1288685 1455456 1546422 1819320 1940608 2061896 2425760 2577370 2910912 3092844 3638640 3866055 4123792 4851520 5154740 5821824 6185688 7277280 7732110 8247584 9703040 10309480 12371376 14554560 15464220 16495168 20618960 24742752 29109120 30928440 32990336 41237920 49485504 61856880 82475840 98971008 123713760 164951680 247427520 494855040