Search a number
-
+
4457706752 = 28313311697
BaseRepresentation
bin1000010011011001…
…10011010100000000
3102111122221222002002
410021230303110000
533112133104002
62014200043132
7215315611412
oct41154632400
912448858062
104457706752
111988294074
12a44a634a8
135606b9205
1430405a9b2
151b1537002
hex109b33500

4457706752 has 72 divisors (see below), whose sum is σ = 9218211072. Its totient is φ = 2149171200.

The previous prime is 4457706733. The next prime is 4457706767. The reversal of 4457706752 is 2576077544.

It is a super-2 number, since 2×44577067522 = 39742298973652779008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4457706697 and 4457706706.

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, 2625968 + ... + 2627664.

Almost surely, 24457706752 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 4457706752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4609105536).

4457706752 is an abundant number, since it is smaller than the sum of its proper divisors (4760504320).

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

4457706752 is a wasteful number, since it uses less digits than its factorization.

4457706752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 1646400, while the sum is 47.

The square root of 4457706752 is about 66766.0598807508. The cubic root of 4457706752 is about 1645.7751420581.

The spelling of 4457706752 in words is "four billion, four hundred fifty-seven million, seven hundred six thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 331 496 662 992 1324 1697 1984 2648 3394 3968 5296 6788 7936 10261 10592 13576 20522 21184 27152 41044 42368 52607 54304 82088 84736 105214 108608 164176 210428 217216 328352 420856 434432 561707 656704 841712 1123414 1313408 1683424 2246828 2626816 3366848 4493656 6733696 8987312 13467392 17412917 17974624 34825834 35949248 69651668 71898496 139303336 143796992 278606672 557213344 1114426688 2228853376 4457706752