Search a number
-
+
4329313152 = 27389131967
BaseRepresentation
bin1000000100000110…
…00001001110000000
3102011201100220011120
410002003001032000
532331301010102
61553332112240
7212166361143
oct40203011600
912151326146
104329313152
11192186a05a
12a09a65680
1353cc13978
142d0d9805a
151a51246bc
hex1020c1380

4329313152 has 128 divisors (see below), whose sum is σ = 11729836800. Its totient is φ = 1414533120.

The previous prime is 4329313139. The next prime is 4329313171. The reversal of 4329313152 is 2513139234.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4476573 + ... + 4477539.

It is an arithmetic number, because the mean of its divisors is an integer number (91639350).

Almost surely, 24329313152 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 4329313152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5864918400).

4329313152 is an abundant number, since it is smaller than the sum of its proper divisors (7400523648).

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

4329313152 is a wasteful number, since it uses less digits than its factorization.

4329313152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1192 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

The square root of 4329313152 is about 65797.5163057087. The cubic root of 4329313152 is about 1629.8200902968.

The spelling of 4329313152 in words is "four billion, three hundred twenty-nine million, three hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 131 178 192 262 267 356 384 393 524 534 712 786 967 1048 1068 1424 1572 1934 2096 2136 2848 2901 3144 3868 4192 4272 5696 5802 6288 7736 8384 8544 11392 11604 11659 12576 15472 16768 17088 23208 23318 25152 30944 34176 34977 46416 46636 50304 61888 69954 86063 92832 93272 123776 126677 139908 172126 185664 186544 253354 258189 279816 344252 371328 373088 380031 506708 516378 559632 688504 746176 760062 1013416 1032756 1119264 1377008 1492352 1520124 2026832 2065512 2238528 2754016 3040248 4053664 4131024 4477056 5508032 6080496 8107328 8262048 11016064 11274253 12160992 16214656 16524096 22548506 24321984 33048192 33822759 45097012 48643968 67645518 90194024 135291036 180388048 270582072 360776096 541164144 721552192 1082328288 1443104384 2164656576 4329313152