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8414304992 = 252914396301
BaseRepresentation
bin1111101011000100…
…00001101011100000
3210201101222222111122
413311202001223200
5114213030224432
63510535431412
7415341261302
oct76542015340
923641888448
108414304992
113628723975
121769b25568
13a413228c2
1459b713972
15343a87612
hex1f5881ae0

8414304992 has 48 divisors (see below), whose sum is σ = 17151523200. Its totient is φ = 4058611200.

The previous prime is 8414304961. The next prime is 8414305007. The reversal of 8414304992 is 2994034148.

It is a super-2 number, since 2×84143049922 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1332242 + ... + 1338542.

It is an arithmetic number, because the mean of its divisors is an integer number (357323400).

Almost surely, 28414304992 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 8414304992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8575761600).

8414304992 is an abundant number, since it is smaller than the sum of its proper divisors (8737218208).

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

8414304992 is a wasteful number, since it uses less digits than its factorization.

8414304992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7779 (or 7771 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The square root of 8414304992 is about 91729.5208316276. The cubic root of 8414304992 is about 2033.9459910948.

The spelling of 8414304992 in words is "eight billion, four hundred fourteen million, three hundred four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 1439 2878 5756 6301 11512 12602 23024 25204 41731 46048 50408 83462 100816 166924 182729 201632 333848 365458 667696 730916 1335392 1461832 2923664 5847328 9067139 18134278 36268556 72537112 145074224 262947031 290148448 525894062 1051788124 2103576248 4207152496 8414304992