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54786672 = 2433314091
BaseRepresentation
bin1101000011111…
…1101001110000
310211002110012000
43100333221300
5103011133142
65234134000
71233451623
oct320775160
9124073160
1054786672
1128a20046
1216421300
13b473065
1473c1dba
154c2314c
hex343fa70

54786672 has 80 divisors (see below), whose sum is σ = 162370560. Its totient is φ = 17668800.

The previous prime is 54786661. The next prime is 54786679. The reversal of 54786672 is 27668745.

It is a super-3 number, since 3×547866723 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54786679) 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, 11347 + ... + 15437.

It is an arithmetic number, because the mean of its divisors is an integer number (2029632).

Almost surely, 254786672 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 54786672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81185280).

54786672 is an abundant number, since it is smaller than the sum of its proper divisors (107583888).

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

54786672 is a wasteful number, since it uses less digits than its factorization.

54786672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4139 (or 4127 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 54786672 is about 7401.8019427704. The cubic root of 54786672 is about 379.8029264366.

The spelling of 54786672 in words is "fifty-four million, seven hundred eighty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1674 2232 3348 4091 4464 6696 8182 12273 13392 16364 24546 32728 36819 49092 65456 73638 98184 110457 126821 147276 196368 220914 253642 294552 380463 441828 507284 589104 760926 883656 1014568 1141389 1521852 1767312 2029136 2282778 3043704 3424167 4565556 6087408 6848334 9131112 13696668 18262224 27393336 54786672