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9020256 = 253731433
BaseRepresentation
bin100010011010…
…001101100000
3121222021110120
4202122031200
54302122011
6521200240
7136446060
oct42321540
917867416
109020256
115101063
123030080
131b3a93b
1412ab3a0
15bd2a06
hex89a360

9020256 has 96 divisors (see below), whose sum is σ = 27998208. Its totient is φ = 2488320.

The previous prime is 9020243. The next prime is 9020279. The reversal of 9020256 is 6520209.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20616 + ... + 21048.

It is an arithmetic number, because the mean of its divisors is an integer number (291648).

Almost surely, 29020256 is an apocalyptic number.

9020256 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9020256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13999104).

9020256 is an abundant number, since it is smaller than the sum of its proper divisors (18977952).

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

9020256 is a wasteful number, since it uses less digits than its factorization.

9020256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 9020256 is about 3003.3741025720. The cubic root of 9020256 is about 208.1643178881.

The spelling of 9020256 in words is "nine million, twenty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 433 434 496 651 672 744 866 868 992 1299 1302 1488 1732 1736 2598 2604 2976 3031 3464 3472 5196 5208 6062 6928 6944 9093 10392 10416 12124 13423 13856 18186 20784 20832 24248 26846 36372 40269 41568 48496 53692 72744 80538 93961 96992 107384 145488 161076 187922 214768 281883 290976 322152 375844 429536 563766 644304 751688 1127532 1288608 1503376 2255064 3006752 4510128 9020256