Search a number
-
+
54352116 = 223271347353
BaseRepresentation
bin1100111101010…
…1100011110100
310210021101002100
43033111203310
5102403231431
65220542100
71226661660
oct317254364
9123241070
1054352116
1128753605
1216251930
13b350320
14730b8a0
154b894e6
hex33d58f4

54352116 has 144 divisors (see below), whose sum is σ = 173182464. Its totient is φ = 13989888.

The previous prime is 54352093. The next prime is 54352171. The reversal of 54352116 is 61125345.

54352116 is a `hidden beast` number, since 543 + 5 + 2 + 116 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 54352116.

It is a congruent number.

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, 153796 + ... + 154148.

It is an arithmetic number, because the mean of its divisors is an integer number (1202656).

Almost surely, 254352116 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 54352116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86591232).

54352116 is an abundant number, since it is smaller than the sum of its proper divisors (118830348).

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

54352116 is a wasteful number, since it uses less digits than its factorization.

54352116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 425 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 54352116 is about 7372.3887580621. The cubic root of 54352116 is about 378.7960882385.

The spelling of 54352116 in words is "fifty-four million, three hundred fifty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 47 52 63 78 84 91 94 117 126 141 156 182 188 234 252 273 282 329 353 364 423 468 546 564 611 658 706 819 846 987 1059 1092 1222 1316 1412 1638 1692 1833 1974 2118 2444 2471 2961 3177 3276 3666 3948 4236 4277 4589 4942 5499 5922 6354 7332 7413 8554 9178 9884 10998 11844 12708 12831 13767 14826 16591 17108 18356 21996 22239 25662 27534 29652 32123 33182 38493 41301 44478 49773 51324 55068 64246 66364 76986 82602 88956 96369 99546 116137 128492 149319 153972 165204 192738 199092 215683 232274 289107 298638 348411 385476 431366 464548 578214 597276 647049 696822 862732 1045233 1156428 1294098 1393644 1509781 1941147 2090466 2588196 3019562 3882294 4180932 4529343 6039124 7764588 9058686 13588029 18117372 27176058 54352116