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4224756352 = 27534011553
BaseRepresentation
bin1111101111010000…
…1010101010000000
3101220102121212012111
43323310022222000
532123014200402
61535115105104
7206456556625
oct37364125200
911812555174
104224756352
111878845a83
1299aa42194
1352436603b
142c113c34c
1519ad6e9d7
hexfbd0aa80

4224756352 has 64 divisors (see below), whose sum is σ = 8602229160. Its totient is φ = 2066022400.

The previous prime is 4224756293. The next prime is 4224756379. The reversal of 4224756352 is 2536574224.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4109322816 + 115433536 = 64104^2 + 10744^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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, 2719608 + ... + 2721160.

Almost surely, 24224756352 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 4224756352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4301114580).

4224756352 is an abundant number, since it is smaller than the sum of its proper divisors (4377472808).

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

4224756352 is a wasteful number, since it uses less digits than its factorization.

4224756352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021 (or 2009 counting only the distinct ones).

The product of its digits is 403200, while the sum is 40.

The square root of 4224756352 is about 64998.1257575940. The cubic root of 4224756352 is about 1616.5924860756.

The spelling of 4224756352 in words is "four billion, two hundred twenty-four million, seven hundred fifty-six thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 401 424 802 848 1553 1604 1696 3106 3208 3392 6212 6416 6784 12424 12832 21253 24848 25664 42506 49696 51328 82309 85012 99392 164618 170024 198784 329236 340048 622753 658472 680096 1245506 1316944 1360192 2491012 2633888 2720384 4982024 5267776 9964048 10535552 19928096 33005909 39856192 66011818 79712384 132023636 264047272 528094544 1056189088 2112378176 4224756352