Search a number
-
+
55249740 = 223257133373
BaseRepresentation
bin1101001011000…
…0101101001100
310211221222101200
43102300231030
5103120442430
65252105500
71240420650
oct322605514
9124858350
1055249740
1129206a47
1216605290
13b5a5a70
1474a2a60
154cb5460
hex34b0b4c

55249740 has 144 divisors (see below), whose sum is σ = 206326848. Its totient is φ = 11653632.

The previous prime is 55249721. The next prime is 55249751. The reversal of 55249740 is 4794255.

55249740 is a `hidden beast` number, since 5 + 524 + 97 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 55249695 and 55249704.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14694 + ... + 18066.

Almost surely, 255249740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55249740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103163424).

55249740 is an abundant number, since it is smaller than the sum of its proper divisors (151077108).

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

55249740 is a wasteful number, since it uses less digits than its factorization.

55249740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3408 (or 3403 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 55249740 is about 7433.0168841460. The cubic root of 55249740 is about 380.8699827097.

The spelling of 55249740 in words is "fifty-five million, two hundred forty-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 3373 4095 5460 6746 8190 10119 13492 16380 16865 20238 23611 30357 33730 40476 43849 47222 50595 60714 67460 70833 87698 94444 101190 118055 121428 131547 141666 151785 175396 202380 212499 219245 236110 263094 283332 303570 306943 354165 394641 424998 438490 472220 526188 607140 613886 657735 708330 789282 849996 876980 920829 1062495 1227772 1315470 1416660 1534715 1578564 1841658 1973205 2124990 2630940 2762487 3069430 3683316 3946410 4249980 4604145 5524974 6138860 7892820 9208290 11049948 13812435 18416580 27624870 55249740