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54809244 = 22337210357
BaseRepresentation
bin1101000100010…
…1001010011100
310211010121011000
43101011022130
5103012343434
65234430300
71233604500
oct321051234
9124117130
1054809244
1128a35aa6
1216432390
13b480409
1473ca300
154c29b99
hex344529c

54809244 has 72 divisors (see below), whose sum is σ = 165313680. Its totient is φ = 15658272.

The previous prime is 54809213. The next prime is 54809267. The reversal of 54809244 is 44290845.

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

It is a junction number, because it is equal to n+sod(n) for n = 54809199 and 54809208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114 + ... + 10470.

Almost surely, 254809244 is an apocalyptic number.

54809244 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 54809244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82656840).

54809244 is an abundant number, since it is smaller than the sum of its proper divisors (110504436).

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

54809244 is a wasteful number, since it uses less digits than its factorization.

54809244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10384 (or 10369 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 54809244 is about 7403.3265495992. The cubic root of 54809244 is about 379.8550786254.

It can be divided in two parts, 5 and 4809244, that added together give a square (4809249 = 21932).

The spelling of 54809244 in words is "fifty-four million, eight hundred nine thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 10357 20714 31071 41428 62142 72499 93213 124284 144998 186426 217497 279639 289996 372852 434994 507493 559278 652491 869988 1014986 1118556 1304982 1522479 1957473 2029972 2609964 3044958 3914946 4567437 6089916 7829892 9134874 13702311 18269748 27404622 54809244