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54858820 = 22541149449
BaseRepresentation
bin1101000101000…
…1010001000100
310211020010011011
43101101101010
5103020440240
65235452004
71234202152
oct321212104
9124203134
1054858820
1128a6a275
1216457004
13b499b53
1474003d2
154c396ea
hex3451444

54858820 has 48 divisors (see below), whose sum is σ = 119070000. Its totient is φ = 21217280.

The previous prime is 54858781. The next prime is 54858851. The reversal of 54858820 is 2885845.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 13307904 + 41550916 = 3648^2 + 6446^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121956 + ... + 122404.

It is an arithmetic number, because the mean of its divisors is an integer number (2480625).

Almost surely, 254858820 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 54858820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59535000).

54858820 is an abundant number, since it is smaller than the sum of its proper divisors (64211180).

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

54858820 is a wasteful number, since it uses less digits than its factorization.

54858820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 40.

The square root of 54858820 is about 7406.6740173981. The cubic root of 54858820 is about 379.9695728176.

The spelling of 54858820 in words is "fifty-four million, eight hundred fifty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 149 164 205 298 410 449 596 745 820 898 1490 1796 2245 2980 4490 6109 8980 12218 18409 24436 30545 36818 61090 66901 73636 92045 122180 133802 184090 267604 334505 368180 669010 1338020 2742941 5485882 10971764 13714705 27429410 54858820