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71800056 = 233229137251
BaseRepresentation
bin1000100011110…
…01010011111000
312000002211011100
410101321103320
5121340100211
611042531400
71531201416
oct421712370
9160084140
1071800056
1137590499
1220066b60
1311b4bc53
1497702b6
156484156
hex44794f8

71800056 has 96 divisors (see below), whose sum is σ = 203439600. Its totient is φ = 22848000.

The previous prime is 71800021. The next prime is 71800073. The reversal of 71800056 is 65000817.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285931 + ... + 286181.

Almost surely, 271800056 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 71800056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101719800).

71800056 is an abundant number, since it is smaller than the sum of its proper divisors (131639544).

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

71800056 is a wasteful number, since it uses less digits than its factorization.

71800056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 71800056 is about 8473.4913701496. The cubic root of 71800056 is about 415.6313147400.

The spelling of 71800056 in words is "seventy-one million, eight hundred thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 137 174 232 251 261 274 348 411 502 522 548 696 753 822 1004 1044 1096 1233 1506 1644 2008 2088 2259 2466 3012 3288 3973 4518 4932 6024 7279 7946 9036 9864 11919 14558 15892 18072 21837 23838 29116 31784 34387 35757 43674 47676 58232 65511 68774 71514 87348 95352 103161 131022 137548 143028 174696 206322 262044 275096 286056 309483 412644 524088 618966 825288 997223 1237932 1994446 2475864 2991669 3988892 5983338 7977784 8975007 11966676 17950014 23933352 35900028 71800056