Search a number
-
+
5452347648 = 283115910939
BaseRepresentation
bin1010001001111110…
…00011100100000000
3112001222112221212210
411010333003210000
542131300111043
62301010422120
7252054122166
oct50477034400
915058487783
105452347648
112348787540
121081b91940
1368b79b017
1439a1b1236
1521da0a633
hex144fc3900

5452347648 has 144 divisors (see below), whose sum is σ = 16100179200. Its totient is φ = 1624074240.

The previous prime is 5452347643. The next prime is 5452347671. The reversal of 5452347648 is 8467432545.

It is a super-2 number, since 2×54523476482 = 59456189749302263808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 5452347597 and 5452347606.

It is not an unprimeable number, because it can be changed into a prime (5452347643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 492963 + ... + 503901.

It is an arithmetic number, because the mean of its divisors is an integer number (111806800).

Almost surely, 25452347648 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 5452347648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8050089600).

5452347648 is an abundant number, since it is smaller than the sum of its proper divisors (10647831552).

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

5452347648 is a wasteful number, since it uses less digits than its factorization.

5452347648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11028 (or 11014 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 48.

The square root of 5452347648 is about 73840.0138678210. The cubic root of 5452347648 is about 1760.0615130016.

The spelling of 5452347648 in words is "five billion, four hundred fifty-two million, three hundred forty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 59 64 66 88 96 118 128 132 176 177 192 236 256 264 352 354 384 472 528 649 704 708 768 944 1056 1298 1408 1416 1888 1947 2112 2596 2816 2832 3776 3894 4224 5192 5664 7552 7788 8448 10384 10939 11328 15104 15576 20768 21878 22656 31152 32817 41536 43756 45312 62304 65634 83072 87512 120329 124608 131268 166144 175024 240658 249216 262536 350048 360987 481316 498432 525072 645401 700096 721974 962632 1050144 1290802 1400192 1443948 1925264 1936203 2100288 2581604 2800384 2887896 3850528 3872406 4200576 5163208 5775792 7099411 7701056 7744812 8401152 10326416 11551584 14198822 15402112 15489624 20652832 21298233 23103168 28397644 30804224 30979248 41305664 42596466 46206336 56795288 61958496 82611328 85192932 92412672 113590576 123916992 165222656 170385864 227181152 247833984 340771728 454362304 495667968 681543456 908724608 1363086912 1817449216 2726173824 5452347648