Search a number
-
+
4526869376 = 27294379359
BaseRepresentation
bin1000011011101001…
…01000101110000000
3102200111002210100202
410031310220232000
533232334310001
62025110304332
7220115516621
oct41564505600
912614083322
104526869376
111a13332a67
12a640580a8
13571b23843
1430d301a48
151b764996b
hex10dd28b80

4526869376 has 128 divisors (see below), whose sum is σ = 9694080000. Its totient is φ = 2101671936.

The previous prime is 4526869349. The next prime is 4526869379. The reversal of 4526869376 is 6739686254.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (13063680) is a multiple of the sum of its prime divisors (512).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4526869379) 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, 12609485 + ... + 12609843.

It is an arithmetic number, because the mean of its divisors is an integer number (75735000).

Almost surely, 24526869376 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 4526869376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4847040000).

4526869376 is an abundant number, since it is smaller than the sum of its proper divisors (5167210624).

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

4526869376 is a wasteful number, since it uses less digits than its factorization.

4526869376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 512 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 56.

The square root of 4526869376 is about 67282.0137629664. The cubic root of 4526869376 is about 1654.2430587145.

The spelling of 4526869376 in words is "four billion, five hundred twenty-six million, eight hundred sixty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 29 32 43 58 64 79 86 116 128 158 172 232 316 344 359 464 632 688 718 928 1247 1264 1376 1436 1856 2291 2494 2528 2752 2872 3397 3712 4582 4988 5056 5504 5744 6794 9164 9976 10112 10411 11488 13588 15437 18328 19952 20822 22976 27176 28361 30874 36656 39904 41644 45952 54352 56722 61748 73312 79808 83288 98513 108704 113444 123496 146624 159616 166576 197026 217408 226888 246992 293248 333152 394052 434816 447673 453776 493984 666304 788104 822469 895346 907552 987968 1219523 1332608 1576208 1644938 1790692 1815104 1975936 2439046 3152416 3289876 3581384 3630208 4878092 6304832 6579752 7162768 9756184 12609664 13159504 14325536 19512368 26319008 28651072 35366167 39024736 52638016 57302144 70732334 78049472 105276032 141464668 156098944 282929336 565858672 1131717344 2263434688 4526869376