Search a number
-
+
3325564992 = 2631393532
BaseRepresentation
bin1100011000111000…
…0001100001000000
322120202122012112210
43012032001201000
523302321034432
61305554222120
7145260556521
oct30616014100
98522565483
103325564992
111457216222
12789884940
1340cc93749
14237952848
15146e528cc
hexc6381840

3325564992 has 84 divisors (see below), whose sum is σ = 8887368560. Its totient is φ = 1097428992.

The previous prime is 3325564967. The next prime is 3325564997. The reversal of 3325564992 is 2994655233.

It is a super-2 number, since 2×33255649922 = 22118765032031920128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3325564997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9420688 + ... + 9421040.

Almost surely, 23325564992 is an apocalyptic number.

3325564992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3325564992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4443684280).

3325564992 is an abundant number, since it is smaller than the sum of its proper divisors (5561803568).

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

3325564992 is an equidigital number, since it uses as much as digits as its factorization.

3325564992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 497 counting only the distinct ones).

The product of its digits is 1749600, while the sum is 48.

The square root of 3325564992 is about 57667.7118672139. The cubic root of 3325564992 is about 1492.6402434929.

The spelling of 3325564992 in words is "three billion, three hundred twenty-five million, five hundred sixty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 139 192 278 353 417 556 706 834 1059 1112 1412 1668 2118 2224 2824 3336 4236 4448 5648 6672 8472 8896 11296 13344 16944 22592 26688 33888 49067 67776 98134 124609 147201 196268 249218 294402 373827 392536 498436 588804 747654 785072 996872 1177608 1495308 1570144 1993744 2355216 2990616 3140288 3987488 4710432 5981232 7974976 9420864 11962464 17320651 23924928 34641302 51961953 69282604 103923906 138565208 207847812 277130416 415695624 554260832 831391248 1108521664 1662782496 3325564992