Search a number
-
+
54008439552 = 283323339727
BaseRepresentation
bin110010010011001001…
…110110001100000000
312011101221101222222000
4302103021312030000
51341102130031202
640451112144000
73621244106304
oct622311661400
9164357358860
1054008439552
11209a53a1011
12a573398000
135129357952
142884c3dd04
15161173591c
hexc93276300

54008439552 has 144 divisors (see below), whose sum is σ = 166656967680. Its totient is φ = 17220031488.

The previous prime is 54008439547. The next prime is 54008439557. The reversal of 54008439552 is 25593480045.

54008439552 is a `hidden beast` number, since 54 + 0 + 0 + 8 + 43 + 9 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (54008439547) and next prime (54008439557).

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 54008439498 and 54008439507.

It is not an unprimeable number, because it can be changed into a prime (54008439557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10888 + ... + 328839.

Almost surely, 254008439552 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 54008439552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83328483840).

54008439552 is an abundant number, since it is smaller than the sum of its proper divisors (112648528128).

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

54008439552 is a wasteful number, since it uses less digits than its factorization.

54008439552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339775 (or 339755 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 54008439552 in words is "fifty-four billion, eight million, four hundred thirty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 256 276 288 368 384 414 432 552 576 621 736 768 828 864 1104 1152 1242 1472 1656 1728 2208 2304 2484 2944 3312 3456 4416 4968 5888 6624 6912 8832 9936 13248 17664 19872 26496 39744 52992 79488 158976 339727 679454 1019181 1358908 2038362 2717816 3057543 4076724 5435632 6115086 7813721 8153448 9172629 10871264 12230172 15627442 16306896 18345258 21742528 23441163 24460344 31254884 32613792 36690516 43485056 46882326 48920688 62509768 65227584 70323489 73381032 86970112 93764652 97841376 125019536 130455168 140646978 146762064 187529304 195682752 210970467 250039072 260910336 281293956 293524128 375058608 391365504 421940934 500078144 562587912 587048256 750117216 782731008 843881868 1000156288 1125175824 1174096512 1500234432 1687763736 2000312576 2250351648 2348193024 3000468864 3375527472 4500703296 6000937728 6751054944 9001406592 13502109888 18002813184 27004219776 54008439552