Search a number
-
+
675538944 = 2113432557
BaseRepresentation
bin101000010000111…
…110100000000000
31202002010221012220
4220100332200000
52340414221234
6151011051040
722511662203
oct5020764000
91662127186
10675538944
11317362453
1216a2a0a80
13a9c565b2
1465a0b93a
153e48ea49
hex2843e800

675538944 has 96 divisors (see below), whose sum is σ = 1843601760. Its totient is φ = 219856896.

The previous prime is 675538921. The next prime is 675538951. The reversal of 675538944 is 449835576.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262914 + ... + 265470.

It is an arithmetic number, because the mean of its divisors is an integer number (19204185).

Almost surely, 2675538944 is an apocalyptic number.

675538944 is a gapful number since it is divisible by the number (64) 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 675538944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921800880).

675538944 is an abundant number, since it is smaller than the sum of its proper divisors (1168062816).

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

675538944 is a wasteful number, since it uses less digits than its factorization.

675538944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625 (or 2605 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 51.

The square root of 675538944 is about 25991.1320261354. The cubic root of 675538944 is about 877.4387233288.

The spelling of 675538944 in words is "six hundred seventy-five million, five hundred thirty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 512 516 688 768 1024 1032 1376 1536 2048 2064 2557 2752 3072 4128 5114 5504 6144 7671 8256 10228 11008 15342 16512 20456 22016 30684 33024 40912 44032 61368 66048 81824 88064 109951 122736 132096 163648 219902 245472 264192 327296 329853 439804 490944 654592 659706 879608 981888 1309184 1319412 1759216 1963776 2618368 2638824 3518432 3927552 5236736 5277648 7036864 7855104 10555296 14073728 15710208 21110592 28147456 42221184 56294912 84442368 112589824 168884736 225179648 337769472 675538944