Search a number
-
+
55258368 = 2831131211
BaseRepresentation
bin1101001011001…
…0110100000000
310211222102020020
43102302310000
5103121231433
65252213440
71240455054
oct322626400
9124872206
1055258368
1129212480
121660a280
13b5a9979
1474a5c64
154cb7cb3
hex34b2d00

55258368 has 144 divisors (see below), whose sum is σ = 166397952. Its totient is φ = 16128000.

The previous prime is 55258363. The next prime is 55258421. The reversal of 55258368 is 86385255.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55258361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261783 + ... + 261993.

Almost surely, 255258368 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 55258368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83198976).

55258368 is an abundant number, since it is smaller than the sum of its proper divisors (111139584).

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

55258368 is a wasteful number, since it uses less digits than its factorization.

55258368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 258 counting only the distinct ones).

The product of its digits is 288000, while the sum is 42.

The square root of 55258368 is about 7433.5972449414. The cubic root of 55258368 is about 380.8898076909.

The spelling of 55258368 in words is "fifty-five million, two hundred fifty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 128 132 176 186 192 211 248 256 264 341 352 372 384 422 496 528 633 682 704 744 768 844 992 1023 1056 1266 1364 1408 1488 1688 1984 2046 2112 2321 2532 2728 2816 2976 3376 3968 4092 4224 4642 5064 5456 5952 6541 6752 6963 7936 8184 8448 9284 10128 10912 11904 13082 13504 13926 16368 18568 19623 20256 21824 23808 26164 27008 27852 32736 37136 39246 40512 43648 52328 54016 55704 65472 71951 74272 78492 81024 87296 104656 111408 130944 143902 148544 156984 162048 209312 215853 222816 261888 287804 297088 313968 418624 431706 445632 575608 594176 627936 837248 863412 891264 1151216 1255872 1674496 1726824 1782528 2302432 2511744 3453648 4604864 5023488 6907296 9209728 13814592 18419456 27629184 55258368