Search a number
-
+
2389616928 = 253219617159
BaseRepresentation
bin1000111001101110…
…1010100100100000
320011112111010011200
42032123222210200
514343220220203
61033041441200
7113134260126
oct21633524440
96145433150
102389616928
111016970626
12568340200
132c10c191a
14189519916
15debc49a3
hex8e6ea920

2389616928 has 144 divisors (see below), whose sum is σ = 7271409600. Its totient is φ = 742141440.

The previous prime is 2389616923. The next prime is 2389616953. The reversal of 2389616928 is 8296169832.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2389616921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330213 + ... + 337371.

It is an arithmetic number, because the mean of its divisors is an integer number (50495900).

Almost surely, 22389616928 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 2389616928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3635704800).

2389616928 is an abundant number, since it is smaller than the sum of its proper divisors (4881792672).

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

2389616928 is a wasteful number, since it uses less digits than its factorization.

2389616928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7255 (or 7244 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 2389616928 is about 48883.7082063135. The cubic root of 2389616928 is about 1336.9323395140.

The spelling of 2389616928 in words is "two billion, three hundred eighty-nine million, six hundred sixteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 61 72 76 96 114 122 144 152 171 183 228 244 288 304 342 366 456 488 549 608 684 732 912 976 1098 1159 1368 1464 1824 1952 2196 2318 2736 2928 3477 4392 4636 5472 5856 6954 7159 8784 9272 10431 13908 14318 17568 18544 20862 21477 27816 28636 37088 41724 42954 55632 57272 64431 83448 85908 111264 114544 128862 136021 166896 171816 229088 257724 272042 333792 343632 408063 436699 515448 544084 687264 816126 873398 1030896 1088168 1224189 1310097 1632252 1746796 2061792 2176336 2448378 2620194 3264504 3493592 3930291 4352672 4896756 5240388 6529008 6987184 7860582 8297281 9793512 10480776 13058016 13974368 15721164 16594562 19587024 20961552 24891843 31442328 33189124 39174048 41923104 49783686 62884656 66378248 74675529 99567372 125769312 132756496 149351058 199134744 265512992 298702116 398269488 597404232 796538976 1194808464 2389616928