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70081752 = 233131773181
BaseRepresentation
bin1000010110101…
…01110011011000
311212212112002110
410023111303120
5120420104002
610542032320
71510453656
oct413256330
9155775073
1070081752
1136617504
121b5786a0
1311699ac0
149443dd6
156244e6c
hex42d5cd8

70081752 has 128 divisors (see below), whose sum is σ = 203636160. Its totient is φ = 19906560.

The previous prime is 70081733. The next prime is 70081771. The reversal of 70081752 is 25718007.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (70081733) and next prime (70081771).

It is a super-2 number, since 2×700817522 = 9822903926779008, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 387102 + ... + 387282.

Almost surely, 270081752 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 70081752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101818080).

70081752 is an abundant number, since it is smaller than the sum of its proper divisors (133554408).

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

70081752 is a wasteful number, since it uses less digits than its factorization.

70081752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 70081752 is about 8371.4844561762. The cubic root of 70081752 is about 412.2889072372.

Adding to 70081752 its reverse (25718007), we get a palindrome (95799759).

It can be divided in two parts, 7008 and 1752, that multiplied together give a square (12278016 = 35042).

The spelling of 70081752 in words is "seventy million, eighty-one thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 73 78 102 104 136 146 156 181 204 219 221 292 312 362 408 438 442 543 584 663 724 876 884 949 1086 1241 1326 1448 1752 1768 1898 2172 2353 2482 2652 2847 3077 3723 3796 4344 4706 4964 5304 5694 6154 7059 7446 7592 9231 9412 9928 11388 12308 13213 14118 14892 16133 18462 18824 22776 24616 26426 28236 29784 32266 36924 39639 40001 48399 52852 56472 64532 73848 79278 80002 96798 105704 120003 129064 158556 160004 171769 193596 224621 240006 317112 320008 343538 387192 449242 480012 515307 673863 687076 898484 960024 1030614 1347726 1374152 1796968 2061228 2695452 2920073 4122456 5390904 5840146 8760219 11680292 17520438 23360584 35040876 70081752