Search a number
-
+
55174284 = 223411113137
BaseRepresentation
bin1101001001111…
…0010010001100
310211211010220000
43102132102030
5103111034114
65250324300
71236654654
oct322362214
9124733800
1055174284
1129165290
1216589690
13b57a609
147483364
154c9ce09
hex349e48c

55174284 has 120 divisors (see below), whose sum is σ = 159900048. Its totient is φ = 16450560.

The previous prime is 55174283. The next prime is 55174303. The reversal of 55174284 is 48247155.

55174284 = 6422 + 6432 + ... + 7542.

It is a super-3 number, since 3×551742843 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (55174283) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 402664 + ... + 402800.

Almost surely, 255174284 is an apocalyptic number.

55174284 is a gapful number since it is divisible by the number (54) 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 55174284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79950024).

55174284 is an abundant number, since it is smaller than the sum of its proper divisors (104725764).

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

55174284 is a wasteful number, since it uses less digits than its factorization.

55174284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 266 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 55174284 is about 7427.9394181698. The cubic root of 55174284 is about 380.6965157183.

It can be divided in two parts, 5517 and 4284, that added together give a square (9801 = 992).

The spelling of 55174284 in words is "fifty-five million, one hundred seventy-four thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 113 132 137 162 198 226 274 297 324 339 396 411 452 548 594 678 822 891 1017 1188 1233 1243 1356 1507 1644 1782 2034 2466 2486 3014 3051 3564 3699 3729 4068 4521 4932 4972 6028 6102 7398 7458 9042 9153 11097 11187 12204 13563 14796 14916 15481 18084 18306 22194 22374 27126 30962 33561 36612 40689 44388 44748 46443 54252 61924 67122 81378 92886 100683 122067 134244 139329 162756 170291 185772 201366 244134 278658 340582 402732 417987 488268 510873 557316 681164 835974 1021746 1253961 1532619 1671948 2043492 2507922 3065238 4597857 5015844 6130476 9195714 13793571 18391428 27587142 55174284