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54540216 = 2334174951
BaseRepresentation
bin1101000000001…
…1011110111000
310210121221010000
43100003132320
5102430241331
65224553000
71231404243
oct320033670
9123557100
1054540216
1128871965
1216322760
13b3b7b23
14735a25a
154bc50e6
hex34037b8

54540216 has 80 divisors (see below), whose sum is σ = 161781840. Its totient is φ = 17107200.

The previous prime is 54540197. The next prime is 54540217. The reversal of 54540216 is 61204545.

It is a super-2 number, since 2×545402162 = 5949270322653312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 54540216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54540217) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8541 + ... + 13491.

It is an arithmetic number, because the mean of its divisors is an integer number (2022273).

Almost surely, 254540216 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 54540216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80890920).

54540216 is an abundant number, since it is smaller than the sum of its proper divisors (107241624).

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

54540216 is a wasteful number, since it uses less digits than its factorization.

54540216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4986 (or 4973 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 54540216 is about 7385.1347990406. The cubic root of 54540216 is about 379.2325600947.

It can be divided in two parts, 54540 and 216, that added together give a square (54756 = 2342).

The spelling of 54540216 in words is "fifty-four million, five hundred forty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2754 3672 4951 5508 9902 11016 14853 19804 29706 39608 44559 59412 84167 89118 118824 133677 168334 178236 252501 267354 336668 356472 401031 505002 534708 673336 757503 802062 1010004 1069416 1515006 1604124 2020008 2272509 3030012 3208248 4545018 6060024 6817527 9090036 13635054 18180072 27270108 54540216