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9052438304 = 2571313722691
BaseRepresentation
bin10000110111001000…
…10011111100100000
3212100212202111211202
420123210103330200
5122014411011204
64054133100332
7440220312260
oct103344237440
925325674752
109052438304
113925957978
1219077876a8
13b135b0490
1461c3857a0
1537ead8e1e
hex21b913f20

9052438304 has 96 divisors (see below), whose sum is σ = 22095835776. Its totient is φ = 3554887680.

The previous prime is 9052438277. The next prime is 9052438327. The reversal of 9052438304 is 4038342509.

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, 387599 + ... + 410289.

It is an arithmetic number, because the mean of its divisors is an integer number (230164956).

Almost surely, 29052438304 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 9052438304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11047917888).

9052438304 is an abundant number, since it is smaller than the sum of its proper divisors (13043397472).

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

9052438304 is a wasteful number, since it uses less digits than its factorization.

9052438304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22858 (or 22850 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The square root of 9052438304 is about 95144.3025304196. The cubic root of 9052438304 is about 2084.1158566748.

The spelling of 9052438304 in words is "nine billion, fifty-two million, four hundred thirty-eight thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 137 182 208 224 274 364 416 548 728 959 1096 1456 1781 1918 2192 2912 3562 3836 4384 7124 7672 12467 14248 15344 22691 24934 28496 30688 45382 49868 56992 90764 99736 158837 181528 199472 294983 317674 363056 398944 589966 635348 726112 1179932 1270696 2064881 2359864 2541392 3108667 4129762 4719728 5082784 6217334 8259524 9439456 12434668 16519048 21760669 24869336 33038096 40412671 43521338 49738672 66076192 80825342 87042676 99477344 161650684 174085352 282888697 323301368 348170704 565777394 646602736 696341408 1131554788 1293205472 2263109576 4526219152 9052438304