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470196936 = 2332112692207
BaseRepresentation
bin11100000001101…
…010001011001000
31012202202110221100
4130001222023020
51430332300221
6114353541400
714436415356
oct3401521310
91182673840
10470196936
11221460a10
12111574860
137654b951
14466387d6
152b42c926
hex1c06a2c8

470196936 has 96 divisors (see below), whose sum is σ = 1395014400. Its totient is φ = 141889920.

The previous prime is 470196929. The next prime is 470196953. The reversal of 470196936 is 639691074.

470196936 is a `hidden beast` number, since 470 + 1 + 96 + 93 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 470196891 and 470196900.

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 23 ways as a sum of consecutive naturals, for example, 211945 + ... + 214151.

It is an arithmetic number, because the mean of its divisors is an integer number (14531400).

Almost surely, 2470196936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470196936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697507200).

470196936 is an abundant number, since it is smaller than the sum of its proper divisors (924817464).

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

470196936 is a wasteful number, since it uses less digits than its factorization.

470196936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499 (or 2492 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 470196936 is about 21684.0249031401. The cubic root of 470196936 is about 777.6065884342.

The spelling of 470196936 in words is "four hundred seventy million, one hundred ninety-six thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 269 396 538 792 807 1076 1614 2152 2207 2421 2959 3228 4414 4842 5918 6456 6621 8828 8877 9684 11836 13242 17656 17754 19368 19863 23672 24277 26484 26631 35508 39726 48554 52968 53262 71016 72831 79452 97108 106524 145662 158904 194216 213048 218493 291324 436986 582648 593683 873972 1187366 1747944 1781049 2374732 3562098 4749464 5343147 6530513 7124196 10686294 13061026 14248392 19591539 21372588 26122052 39183078 42745176 52244104 58774617 78366156 117549234 156732312 235098468 470196936