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4920052224 = 29310613019
BaseRepresentation
bin1001001010100001…
…00000101000000000
3110200212221112211110
410211100200220000
540034013132344
62132113443320
7232631516403
oct44520405000
913625845743
104920052224
1120a527206a
12b53870540
13605419209
1434960dd3a
151dbe133b9
hex125420a00

4920052224 has 80 divisors (see below), whose sum is σ = 13124026080. Its totient is φ = 1637928960.

The previous prime is 4920052219. The next prime is 4920052231. The reversal of 4920052224 is 4222500294.

It is a junction number, because it is equal to n+sod(n) for n = 4920052191 and 4920052200.

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, 1628187 + ... + 1631205.

It is an arithmetic number, because the mean of its divisors is an integer number (164050326).

Almost surely, 24920052224 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 4920052224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6562013040).

4920052224 is an abundant number, since it is smaller than the sum of its proper divisors (8203973856).

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

4920052224 is a wasteful number, since it uses less digits than its factorization.

4920052224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4101 (or 4085 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 4920052224 is about 70143.0839356240. The cubic root of 4920052224 is about 1700.8130164227.

The spelling of 4920052224 in words is "four billion, nine hundred twenty million, fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1061 1536 2122 3019 3183 4244 6038 6366 8488 9057 12076 12732 16976 18114 24152 25464 33952 36228 48304 50928 67904 72456 96608 101856 135808 144912 193216 203712 271616 289824 386432 407424 543232 579648 772864 814848 1159296 1545728 1629696 2318592 3203159 4637184 6406318 9609477 12812636 19218954 25625272 38437908 51250544 76875816 102501088 153751632 205002176 307503264 410004352 615006528 820008704 1230013056 1640017408 2460026112 4920052224