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1255444542 = 2331147193233
BaseRepresentation
bin100101011010100…
…1001000000111110
310020111100012011000
41022311021000332
510032343211132
6324324311130
743053050112
oct11265110076
93214305130
101255444542
11594736080
122b05424a6
13170137ac1
14bca43742
157533d87c
hex4ad4903e

1255444542 has 128 divisors (see below), whose sum is σ = 3137771520. Its totient is φ = 368824320.

The previous prime is 1255444523. The next prime is 1255444601. The reversal of 1255444542 is 2454445521.

1255444542 is a `hidden beast` number, since 1 + 25 + 54 + 44 + 542 = 666.

It is a super-2 number, since 2×12554445422 = 3152281996075179528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1255444497 and 1255444506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5388058 + ... + 5388290.

It is an arithmetic number, because the mean of its divisors is an integer number (24513840).

Almost surely, 21255444542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1255444542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568885760).

1255444542 is an abundant number, since it is smaller than the sum of its proper divisors (1882326978).

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

1255444542 is a wasteful number, since it uses less digits than its factorization.

1255444542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 489 counting only the distinct ones).

The product of its digits is 128000, while the sum is 36.

The square root of 1255444542 is about 35432.2528496284. The cubic root of 1255444542 is about 1078.7790677959.

The spelling of 1255444542 in words is "one billion, two hundred fifty-five million, four hundred forty-four thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 47 54 66 94 99 141 193 198 233 282 297 386 423 466 517 579 594 699 846 1034 1158 1269 1398 1551 1737 2097 2123 2538 2563 3102 3474 4194 4246 4653 5126 5211 6291 6369 7689 9071 9306 10422 10951 12582 12738 13959 15378 18142 19107 21902 23067 27213 27918 32853 38214 44969 46134 54426 57321 65706 69201 81639 89938 98559 99781 114642 120461 134907 138402 163278 197118 199562 240922 244917 269814 295677 299343 361383 404721 489834 494659 591354 598686 722766 809442 898029 989318 1084149 1214163 1483977 1796058 2113543 2168298 2428326 2694087 2967954 3252447 4227086 4451931 5388174 6340629 6504894 8903862 12681258 13355793 19021887 23248973 26711586 38043774 46497946 57065661 69746919 114131322 139493838 209240757 418481514 627722271 1255444542