Search a number
-
+
7032048368 = 241797311857
BaseRepresentation
bin1101000110010010…
…01000101011110000
3200011002001001212212
412203021020223300
5103400201021433
63121441111252
7336155265512
oct64311105360
920132031785
107032048368
112a89454024
121443028528
13880b47387
144a9cddbb2
152b2549d48
hex1a3248af0

7032048368 has 80 divisors (see below), whose sum is σ = 14638688064. Its totient is φ = 3260743680.

The previous prime is 7032048367. The next prime is 7032048433. The reversal of 7032048368 is 8638402307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7032048367) 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, 8204996 + ... + 8205852.

Almost surely, 27032048368 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 7032048368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7319344032).

7032048368 is an abundant number, since it is smaller than the sum of its proper divisors (7606639696).

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

7032048368 is a wasteful number, since it uses less digits than its factorization.

7032048368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The square root of 7032048368 is about 83857.3095680991. The cubic root of 7032048368 is about 1915.8460875053.

The spelling of 7032048368 in words is "seven billion, thirty-two million, forty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 17 34 68 97 136 194 272 311 388 622 776 857 1244 1552 1649 1714 2488 3298 3428 4976 5287 6596 6856 10574 13192 13712 14569 21148 26384 29138 30167 42296 58276 60334 83129 84592 116552 120668 166258 233104 241336 266527 332516 482672 512839 533054 665032 1025678 1066108 1330064 1413193 2051356 2132216 2826386 4102712 4264432 4530959 5652772 8205424 9061918 11305544 18123836 22611088 25853119 36247672 51706238 72495344 103412476 206824952 413649904 439503023 879006046 1758012092 3516024184 7032048368