[go: up one dir, main page]

Search a number
-
+
54055224 = 233237103197
BaseRepresentation
bin1100111000110…
…1000100111000
310202201021211100
43032031010320
5102314231344
65210331400
71224314256
oct316150470
9122637740
1054055224
1128570543
1216129b60
13b278152
1472715d6
154b2b569
hex338d138

54055224 has 96 divisors (see below), whose sum is σ = 152586720. Its totient is φ = 17273088.

The previous prime is 54055219. The next prime is 54055229. The reversal of 54055224 is 42255045.

It is an interprime number because it is at equal distance from previous prime (54055219) and next prime (54055229).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54055229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274294 + ... + 274490.

It is an arithmetic number, because the mean of its divisors is an integer number (1589445).

Almost surely, 254055224 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 54055224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76293360).

54055224 is an abundant number, since it is smaller than the sum of its proper divisors (98531496).

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

54055224 is a wasteful number, since it uses less digits than its factorization.

54055224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 54055224 is about 7352.2257854340. The cubic root of 54055224 is about 378.1051189966.

The spelling of 54055224 in words is "fifty-four million, fifty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 103 111 148 197 206 222 296 309 333 394 412 444 591 618 666 788 824 888 927 1182 1236 1332 1576 1773 1854 2364 2472 2664 3546 3708 3811 4728 7092 7289 7416 7622 11433 14184 14578 15244 20291 21867 22866 29156 30488 34299 40582 43734 45732 58312 60873 65601 68598 81164 87468 91464 121746 131202 137196 162328 174936 182619 243492 262404 274392 365238 486984 524808 730476 750767 1460952 1501534 2252301 3003068 4504602 6006136 6756903 9009204 13513806 18018408 27027612 54055224