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496424292 = 2237213101643
BaseRepresentation
bin11101100101101…
…101010101100100
31021121002222002220
4131211231111210
52004041034132
6121132032340
715205352100
oct3545552544
91247088086
10496424292
11235244a11
1211a3026b0
137bb026b0
1449d04900
152d8ada2c
hex1d96d564

496424292 has 144 divisors (see below), whose sum is σ = 1467732672. Its totient is φ = 129427200.

The previous prime is 496424287. The next prime is 496424311. The reversal of 496424292 is 292424694.

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 47 ways as a sum of consecutive naturals, for example, 771723 + ... + 772365.

It is an arithmetic number, because the mean of its divisors is an integer number (10192588).

Almost surely, 2496424292 is an apocalyptic number.

496424292 is a gapful number since it is divisible by the number (42) 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 496424292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733866336).

496424292 is an abundant number, since it is smaller than the sum of its proper divisors (971308380).

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

496424292 is a wasteful number, since it uses less digits than its factorization.

496424292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 769 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 496424292 is about 22280.5810516692. The cubic root of 496424292 is about 791.8039702068.

The spelling of 496424292 in words is "four hundred ninety-six million, four hundred twenty-four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 101 147 156 182 196 202 273 294 303 364 404 546 588 606 637 643 707 1092 1212 1274 1286 1313 1414 1911 1929 2121 2548 2572 2626 2828 3822 3858 3939 4242 4501 4949 5252 7644 7716 7878 8359 8484 9002 9191 9898 13503 14847 15756 16718 18004 18382 19796 25077 27006 27573 29694 31507 33436 36764 50154 54012 55146 58513 59388 63014 64337 64943 94521 100308 110292 117026 126028 128674 129886 175539 189042 193011 194829 234052 257348 259772 351078 378084 386022 389658 409591 454601 702156 772044 779316 819182 844259 909202 1228773 1363803 1638364 1688518 1818404 2457546 2532777 2727606 3182207 3377036 4915092 5065554 5455212 5909813 6364414 9546621 10131108 11819626 12728828 17729439 19093242 23639252 35458878 38186484 41368691 70917756 82737382 124106073 165474764 248212146 496424292