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2281978048 = 26711345077
BaseRepresentation
bin1000100000000100…
…0011100011000000
312220000221111101111
42020001003203000
514133141244143
61014234413104
7110356331140
oct21001034300
95800844344
102281978048
11a71131979
12538291194
132a4a0518c
141790da920
15d551199d
hex880438c0

2281978048 has 56 divisors (see below), whose sum is σ = 5221114272. Its totient is φ = 969314304.

The previous prime is 2281978043. The next prime is 2281978063. The reversal of 2281978048 is 8408791822.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 2281977992 and 2281978010.

It is not an unprimeable number, because it can be changed into a prime (2281978043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28086 + ... + 73162.

Almost surely, 22281978048 is an apocalyptic number.

2281978048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2281978048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2610557136).

2281978048 is an abundant number, since it is smaller than the sum of its proper divisors (2939136224).

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

2281978048 is a wasteful number, since it uses less digits than its factorization.

2281978048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45209 (or 45199 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 49.

The square root of 2281978048 is about 47770.0538831599. The cubic root of 2281978048 is about 1316.5493836746.

The spelling of 2281978048 in words is "two billion, two hundred eighty-one million, nine hundred seventy-eight thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 113 224 226 448 452 791 904 1582 1808 3164 3616 6328 7232 12656 25312 45077 50624 90154 180308 315539 360616 631078 721232 1262156 1442464 2524312 2884928 5048624 5093701 10097248 10187402 20194496 20374804 35655907 40749608 71311814 81499216 142623628 162998432 285247256 325996864 570494512 1140989024 2281978048