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90944856 = 2334293479
BaseRepresentation
bin1010110101110…
…11010101011000
320100010110220000
411122323111120
5141240213411
613005133000
72153006232
oct532732530
9210113800
1090944856
1147377242
122655a160
1315ac3032
14c115252
157eb6956
hex56bb558

90944856 has 80 divisors (see below), whose sum is σ = 256132800. Its totient is φ = 30148416.

The previous prime is 90944851. The next prime is 90944857. The reversal of 90944856 is 65844909.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90944851) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 189625 + ... + 190103.

It is an arithmetic number, because the mean of its divisors is an integer number (3201660).

Almost surely, 290944856 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 90944856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128066400).

90944856 is an abundant number, since it is smaller than the sum of its proper divisors (165187944).

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

90944856 is a wasteful number, since it uses less digits than its factorization.

90944856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 90944856 is about 9536.5012452157. The cubic root of 90944856 is about 449.7032710473.

The spelling of 90944856 in words is "ninety million, nine hundred forty-four thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 293 324 479 586 648 879 958 1172 1437 1758 1916 2344 2637 2874 3516 3832 4311 5274 5748 7032 7911 8622 10548 11496 12933 15822 17244 21096 23733 25866 31644 34488 38799 47466 51732 63288 77598 94932 103464 140347 155196 189864 280694 310392 421041 561388 842082 1122776 1263123 1684164 2526246 3368328 3789369 5052492 7578738 10104984 11368107 15157476 22736214 30314952 45472428 90944856