Search a number
-
+
55280736 = 25327171613
BaseRepresentation
bin1101001011100…
…0010001100000
310212000112220200
43102320101200
5103122440421
65252505200
71240610220
oct322702140
9125015820
1055280736
1129228265
121661b200
13b5b6bc4
1474b0080
154cbe726
hex34b8460

55280736 has 144 divisors (see below), whose sum is σ = 190348704. Its totient is φ = 14856192.

The previous prime is 55280723. The next prime is 55280741. The reversal of 55280736 is 63708255.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 55280736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33466 + ... + 35078.

It is an arithmetic number, because the mean of its divisors is an integer number (1321866).

Almost surely, 255280736 is an apocalyptic number.

55280736 is a gapful number since it is divisible by the number (56) 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 55280736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95174352).

55280736 is an abundant number, since it is smaller than the sum of its proper divisors (135067968).

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

55280736 is a wasteful number, since it uses less digits than its factorization.

55280736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1642 counting only the distinct ones).

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

The square root of 55280736 is about 7435.1016132935. The cubic root of 55280736 is about 380.9411941398.

The spelling of 55280736 in words is "fifty-five million, two hundred eighty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 144 153 168 204 224 238 252 272 288 306 336 357 408 476 504 544 612 672 714 816 952 1008 1071 1224 1428 1613 1632 1904 2016 2142 2448 2856 3226 3808 4284 4839 4896 5712 6452 8568 9678 11291 11424 12904 14517 17136 19356 22582 25808 27421 29034 33873 34272 38712 45164 51616 54842 58068 67746 77424 82263 90328 101619 109684 116136 135492 154848 164526 180656 191947 203238 219368 232272 246789 270984 329052 361312 383894 406476 438736 464544 493578 541968 575841 658104 767788 812952 877472 987156 1083936 1151682 1316208 1535576 1625904 1727523 1974312 2303364 2632416 3071152 3251808 3455046 3948624 4606728 6142304 6910092 7897248 9213456 13820184 18426912 27640368 55280736