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2084038848 = 263310111941
BaseRepresentation
bin111110000110111…
…1110100011000000
312101020111010212000
41330031332203000
513232003220343
6542444104000
7102434016003
oct17415764300
95336433760
102084038848
1197a427261
124a1b35000
132729bcba8
1415aad353a
15c2e62ed3
hex7c37e8c0

2084038848 has 112 divisors (see below), whose sum is σ = 6187866720. Its totient is φ = 687744000.

The previous prime is 2084038837. The next prime is 2084038877. The reversal of 2084038848 is 8488304802.

It is a happy 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, 168558 + ... + 180498.

It is an arithmetic number, because the mean of its divisors is an integer number (55248810).

Almost surely, 22084038848 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 2084038848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3093933360).

2084038848 is an abundant number, since it is smaller than the sum of its proper divisors (4103827872).

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

2084038848 is a wasteful number, since it uses less digits than its factorization.

2084038848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12063 (or 12047 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 2084038848 is about 45651.2743305157. The cubic root of 2084038848 is about 1277.3265423963.

The spelling of 2084038848 in words is "two billion, eighty-four million, thirty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 101 108 144 192 202 216 288 303 404 432 576 606 808 864 909 1212 1616 1728 1818 2424 2727 3232 3636 4848 5454 6464 7272 9696 10908 11941 14544 19392 21816 23882 29088 35823 43632 47764 58176 71646 87264 95528 107469 143292 174528 191056 214938 286584 322407 382112 429876 573168 644814 764224 859752 1146336 1206041 1289628 1719504 2292672 2412082 2579256 3439008 3618123 4824164 5158512 6878016 7236246 9648328 10317024 10854369 14472492 19296656 20634048 21708738 28944984 32563107 38593312 43417476 57889968 65126214 77186624 86834952 115779936 130252428 173669904 231559872 260504856 347339808 521009712 694679616 1042019424 2084038848