Search a number
-
+
1244569152 = 26331211991
BaseRepresentation
bin100101000101110…
…1001111001000000
310012201212122220210
41022023221321000
510022102203102
6323255234120
742561443331
oct11213517100
93181778823
101244569152
11589588252
122a8978940
1316aaca968
14bb412288
15743e136c
hex4a2e9e40

1244569152 has 112 divisors (see below), whose sum is σ = 3418701824. Its totient is φ = 399168000.

The previous prime is 1244569129. The next prime is 1244569159. The reversal of 1244569152 is 2519654421.

It is a super-3 number, since 3×12445691523 (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1244569152.

It is not an unprimeable number, because it can be changed into a prime (1244569159) 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 15 ways as a sum of consecutive naturals, for example, 1255377 + ... + 1256367.

Almost surely, 21244569152 is an apocalyptic number.

1244569152 is a gapful number since it is divisible by the number (12) 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 1244569152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709350912).

1244569152 is an abundant number, since it is smaller than the sum of its proper divisors (2174132672).

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

1244569152 is a wasteful number, since it uses less digits than its factorization.

1244569152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1238 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 1244569152 is about 35278.4516667044. The cubic root of 1244569152 is about 1075.6550259250.

The spelling of 1244569152 in words is "one billion, two hundred forty-four million, five hundred sixty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 211 248 372 422 496 633 744 844 991 992 1266 1488 1688 1982 1984 2532 2973 2976 3376 3964 5064 5946 5952 6541 6752 7928 10128 11892 13082 13504 15856 19623 20256 23784 26164 30721 31712 39246 40512 47568 52328 61442 63424 78492 92163 95136 104656 122884 156984 184326 190272 209101 209312 245768 313968 368652 418202 418624 491536 627303 627936 737304 836404 983072 1254606 1255872 1474608 1672808 1966144 2509212 2949216 3345616 5018424 5898432 6482131 6691232 10036848 12964262 13382464 19446393 20073696 25928524 38892786 40147392 51857048 77785572 103714096 155571144 207428192 311142288 414856384 622284576 1244569152