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54820332 = 223272111031
BaseRepresentation
bin1101000100011…
…1110111101100
310211011011100200
43101013313230
5103013222312
65234553500
71233652020
oct321076754
9124134320
1054820332
1128a43366
1216438890
13b485488
1473d0380
154c2d0dc
hex3447dec

54820332 has 72 divisors (see below), whose sum is σ = 159274752. Its totient is φ = 15573600.

The previous prime is 54820289. The next prime is 54820343. The reversal of 54820332 is 23302845.

It is a junction number, because it is equal to n+sod(n) for n = 54820296 and 54820305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52657 + ... + 53687.

Almost surely, 254820332 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 54820332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79637376).

54820332 is an abundant number, since it is smaller than the sum of its proper divisors (104454420).

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

54820332 is a wasteful number, since it uses less digits than its factorization.

54820332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 54820332 is about 7404.0753642842. The cubic root of 54820332 is about 379.8806920002.

The spelling of 54820332 in words is "fifty-four million, eight hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 211 252 422 633 844 1031 1266 1477 1899 2062 2532 2954 3093 3798 4124 4431 5908 6186 7217 7596 8862 9279 12372 13293 14434 17724 18558 21651 26586 28868 37116 43302 53172 64953 86604 129906 217541 259812 435082 652623 870164 1305246 1522787 1957869 2610492 3045574 3915738 4568361 6091148 7831476 9136722 13705083 18273444 27410166 54820332