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90750744 = 23327229887
BaseRepresentation
bin1010110100010…
…11111100011000
320022202121121200
411122023330120
5141213010434
613001034200
72151240300
oct532137430
9208677550
1090750744
1147254417
1226485960
1315a55886
14c0a4600
157e79199
hex568bf18

90750744 has 144 divisors (see below), whose sum is σ = 296103600. Its totient is φ = 25006464.

The previous prime is 90750731. The next prime is 90750767. The reversal of 90750744 is 44705709.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 90750699 and 90750708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 101869 + ... + 102755.

It is an arithmetic number, because the mean of its divisors is an integer number (2056275).

Almost surely, 290750744 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 90750744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148051800).

90750744 is an abundant number, since it is smaller than the sum of its proper divisors (205352856).

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

90750744 is a wasteful number, since it uses less digits than its factorization.

90750744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 90750744 is about 9526.3184914215. The cubic root of 90750744 is about 449.3830954133.

The spelling of 90750744 in words is "ninety million, seven hundred fifty thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 49 56 58 63 72 84 87 98 116 126 147 168 174 196 203 232 252 261 294 348 392 406 441 504 522 588 609 696 812 882 887 1044 1176 1218 1421 1624 1764 1774 1827 2088 2436 2661 2842 3528 3548 3654 4263 4872 5322 5684 6209 7096 7308 7983 8526 10644 11368 12418 12789 14616 15966 17052 18627 21288 24836 25578 25723 31932 34104 37254 43463 49672 51156 51446 55881 63864 74508 77169 86926 102312 102892 111762 130389 149016 154338 173852 180061 205784 223524 231507 260778 308676 347704 360122 391167 447048 463014 521556 540183 617352 720244 782334 926028 1043112 1080366 1260427 1440488 1564668 1620549 1852056 2160732 2520854 3129336 3241098 3781281 4321464 5041708 6482196 7562562 10083416 11343843 12964392 15125124 22687686 30250248 45375372 90750744