Search a number
-
+
3252006648 = 2332112537043
BaseRepresentation
bin1100000111010101…
…1010111011111000
322101122020001110200
43001311122323320
523130003203043
61254405442200
7143405412642
oct30165327370
98348201420
103252006648
111419744800
12769110360
133ca97a3b7
1422bc85892
151407727d3
hexc1d5aef8

3252006648 has 144 divisors (see below), whose sum is σ = 9865051560. Its totient is φ = 966725760.

The previous prime is 3252006647. The next prime is 3252006677. The reversal of 3252006648 is 8466002523.

3252006648 is a `hidden beast` number, since 3 + 2 + 5 + 2 + 0 + 0 + 6 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3252006647) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 458215 + ... + 465257.

Almost surely, 23252006648 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 3252006648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4932525780).

3252006648 is an abundant number, since it is smaller than the sum of its proper divisors (6613044912).

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

3252006648 is a wasteful number, since it uses less digits than its factorization.

3252006648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7130 (or 7112 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3252006648 is about 57026.3680063881. The cubic root of 3252006648 is about 1481.5528272167.

The spelling of 3252006648 in words is "three billion, two hundred fifty-two million, six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 53 66 72 88 99 106 121 132 159 198 212 242 264 318 363 396 424 477 484 583 636 726 792 954 968 1089 1166 1272 1452 1749 1908 2178 2332 2904 3498 3816 4356 4664 5247 6413 6996 7043 8712 10494 12826 13992 14086 19239 20988 21129 25652 28172 38478 41976 42258 51304 56344 57717 63387 76956 77473 84516 115434 126774 153912 154946 169032 230868 232419 253548 309892 373279 461736 464838 507096 619784 697257 746558 852203 929676 1119837 1394514 1493116 1704406 1859352 2239674 2556609 2789028 2986232 3359511 3408812 4106069 4479348 5113218 5578056 6719022 6817624 7669827 8212138 8958696 10226436 12318207 13438044 15339654 16424276 20452872 24636414 26876088 30679308 32848552 36954621 45166759 49272828 61358616 73909242 90333518 98545656 135500277 147818484 180667036 271000554 295636968 361334072 406500831 542001108 813001662 1084002216 1626003324 3252006648