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75117424 = 24172989107
BaseRepresentation
bin1000111101000…
…11001101110000
312020100100201211
410132203031300
5123212224144
611242005504
71601326144
oct436431560
9166310654
1075117424
1139446918
12211a6894
1312740ba5
149d95224
1568dc034
hex47a3370

75117424 has 80 divisors (see below), whose sum is σ = 162712800. Its totient is φ = 33431552.

The previous prime is 75117403. The next prime is 75117439. The reversal of 75117424 is 42471157.

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 15 ways as a sum of consecutive naturals, for example, 701979 + ... + 702085.

It is an arithmetic number, because the mean of its divisors is an integer number (2033910).

Almost surely, 275117424 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 75117424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81356400).

75117424 is an abundant number, since it is smaller than the sum of its proper divisors (87595376).

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

75117424 is a wasteful number, since it uses less digits than its factorization.

75117424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 244 counting only the distinct ones).

The product of its digits is 7840, while the sum is 31.

The square root of 75117424 is about 8667.0308641426. The cubic root of 75117424 is about 421.9363050846.

The spelling of 75117424 in words is "seventy-five million, one hundred seventeen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 29 34 58 68 89 107 116 136 178 214 232 272 356 428 464 493 712 856 986 1424 1513 1712 1819 1972 2581 3026 3103 3638 3944 5162 6052 6206 7276 7888 9523 10324 12104 12412 14552 19046 20648 24208 24824 29104 38092 41296 43877 49648 52751 76184 87754 105502 152368 161891 175508 211004 276167 323782 351016 422008 552334 647564 702032 844016 1104668 1295128 2209336 2590256 4418672 4694839 9389678 18779356 37558712 75117424