Search a number
-
+
3044541152 = 251719237419
BaseRepresentation
bin1011010101111000…
…0000001011100000
321212011211201022102
42311132000023200
522213400304102
61222035025532
7135306113162
oct26536001340
97764751272
103044541152
111322622914
1270b73b2a8
133969ab053
1420c4bc932
1512c441402
hexb57802e0

3044541152 has 144 divisors (see below), whose sum is σ = 6895581840. Its totient is φ = 1317482496.

The previous prime is 3044541151. The next prime is 3044541277. The reversal of 3044541152 is 2511454403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3044541151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7265999 + ... + 7266417.

It is an arithmetic number, because the mean of its divisors is an integer number (47885985).

Almost surely, 23044541152 is an apocalyptic number.

3044541152 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 3044541152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447790920).

3044541152 is an abundant number, since it is smaller than the sum of its proper divisors (3851040688).

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

3044541152 is a wasteful number, since it uses less digits than its factorization.

3044541152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 3044541152 is about 55177.3608647605. The cubic root of 3044541152 is about 1449.3522516223.

Adding to 3044541152 its reverse (2511454403), we get a palindrome (5555995555).

The spelling of 3044541152 in words is "three billion, forty-four million, five hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 19 32 34 37 38 68 74 76 136 148 152 272 296 304 323 361 419 544 592 608 629 646 703 722 838 1184 1258 1292 1406 1444 1676 2516 2584 2812 2888 3352 5032 5168 5624 5776 6137 6704 7123 7961 10064 10336 11248 11552 11951 12274 13357 13408 14246 15503 15922 20128 22496 23902 24548 26714 28492 31006 31844 47804 49096 53428 56984 62012 63688 95608 98192 106856 113968 124024 127376 135337 151259 191216 196384 213712 227069 227936 248048 254752 263551 270674 294557 302518 382432 427424 454138 496096 527102 541348 589114 605036 908276 1054204 1082696 1178228 1210072 1816552 2108408 2165392 2356456 2420144 2571403 3633104 4216816 4330784 4712912 4840288 5007469 5142806 5596583 7266208 8433632 9425824 10014938 10285612 11193166 20029876 20571224 22386332 40059752 41142448 44772664 80119504 82284896 89545328 95141911 160239008 179090656 190283822 380567644 761135288 1522270576 3044541152