Search a number
-
+
9008378928 = 243328174209
BaseRepresentation
bin10000110001111000…
…01111010000110000
3212020210212001202000
420120330033100300
5121422121111203
64045520454000
7436143646263
oct103074172060
925223761660
109008378928
113902aa446a
1218b4a7a300
13b07425043
14616596cda
1537acd44a3
hex218f0f430

9008378928 has 80 divisors (see below), whose sum is σ = 25949752800. Its totient is φ = 2992066560.

The previous prime is 9008378891. The next prime is 9008378941. The reversal of 9008378928 is 8298738009.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 84288 + ... + 158496.

It is an arithmetic number, because the mean of its divisors is an integer number (324371910).

Almost surely, 29008378928 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 9008378928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12974876400).

9008378928 is an abundant number, since it is smaller than the sum of its proper divisors (16941373872).

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

9008378928 is a wasteful number, since it uses less digits than its factorization.

9008378928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74507 (or 74495 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 9008378928 is about 94912.4803595397. The cubic root of 9008378928 is about 2080.7291366323.

The spelling of 9008378928 in words is "nine billion, eight million, three hundred seventy-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 281 432 562 843 1124 1686 2248 2529 3372 4496 5058 6744 7587 10116 13488 15174 20232 30348 40464 60696 74209 121392 148418 222627 296836 445254 593672 667881 890508 1187344 1335762 1781016 2003643 2671524 3562032 4007286 5343048 8014572 10686096 16029144 20852729 32058288 41705458 62558187 83410916 125116374 166821832 187674561 250232748 333643664 375349122 500465496 563023683 750698244 1000930992 1126047366 1501396488 2252094732 3002792976 4504189464 9008378928