Search a number
-
+
9048249504 = 25347498691
BaseRepresentation
bin10000110110101000…
…10101010010100000
3212100120212200220000
420123110111102200
5122012322441004
64053503220000
7440136565110
oct103324252240
925316780800
109048249504
113923556858
1219062a7600
13b127749b8
1461b9b5040
1537e55cc39
hex21b5154a0

9048249504 has 120 divisors (see below), whose sum is σ = 30412232928. Its totient is φ = 2585208960.

The previous prime is 9048249491. The next prime is 9048249523. The reversal of 9048249504 is 4059428409.

It is a self number, because there is not a number n which added to its sum of digits gives 9048249504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 231202 + ... + 267489.

Almost surely, 29048249504 is an apocalyptic number.

It is an amenable number.

9048249504 is an abundant number, since it is smaller than the sum of its proper divisors (21363983424).

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

9048249504 is a wasteful number, since it uses less digits than its factorization.

9048249504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498720 (or 498703 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 9048249504 is about 95122.2871045477. The cubic root of 9048249504 is about 2083.7943487717.

The spelling of 9048249504 in words is "nine billion, forty-eight million, two hundred forty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 4536 6048 9072 18144 498691 997382 1496073 1994764 2992146 3490837 3989528 4488219 5984292 6981674 7979056 8976438 10472511 11968584 13464657 13963348 15958112 17952876 20945022 23937168 26929314 27926696 31417533 35905752 40393971 41890044 47874336 53858628 55853392 62835066 71811504 80787942 83780088 94252599 107717256 111706784 125670132 143623008 161575884 167560176 188505198 215434512 251340264 282757797 323151768 335120352 377010396 430869024 502680528 565515594 646303536 754020792 1005361056 1131031188 1292607072 1508041584 2262062376 3016083168 4524124752 9048249504