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494786240 = 26513831433
BaseRepresentation
bin11101011111011…
…101011011000000
31021111000202010022
4131133131123000
52003131124430
6121032553012
715155420324
oct3537353300
91244022108
10494786240
11234326253
12119852768
137b67ac30
14499d9984
152d6884e5
hex1d7dd6c0

494786240 has 112 divisors (see below), whose sum is σ = 1285024608. Its totient is φ = 180363264.

The previous prime is 494786231. The next prime is 494786273. The reversal of 494786240 is 42687494.

It is a junction number, because it is equal to n+sod(n) for n = 494786191 and 494786200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344564 + ... + 345996.

It is an arithmetic number, because the mean of its divisors is an integer number (11473434).

Almost surely, 2494786240 is an apocalyptic number.

494786240 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 494786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642512304).

494786240 is an abundant number, since it is smaller than the sum of its proper divisors (790238368).

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

494786240 is a wasteful number, since it uses less digits than its factorization.

494786240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The square root of 494786240 is about 22243.7910437947. The cubic root of 494786240 is about 790.9321049445.

The spelling of 494786240 in words is "four hundred ninety-four million, seven hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 83 104 130 160 166 208 260 320 332 415 416 520 664 830 832 1040 1079 1328 1433 1660 2080 2158 2656 2866 3320 4160 4316 5312 5395 5732 6640 7165 8632 10790 11464 13280 14330 17264 18629 21580 22928 26560 28660 34528 37258 43160 45856 57320 69056 74516 86320 91712 93145 114640 118939 149032 172640 186290 229280 237878 298064 345280 372580 458560 475756 594695 596128 745160 951512 1189390 1192256 1490320 1546207 1903024 2378780 2980640 3092414 3806048 4757560 5961280 6184828 7612096 7731035 9515120 12369656 15462070 19030240 24739312 30924140 38060480 49478624 61848280 98957248 123696560 247393120 494786240