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55095680 = 275312777
BaseRepresentation
bin1101001000101…
…1000110000000
310211200011001202
43102023012000
5103101030210
65244520332
71236206543
oct322130600
9124604052
1055095680
1129111222
12165500a8
13b5508c3
14746285a
154c849a5
hex348b180

55095680 has 64 divisors (see below), whose sum is σ = 136010880. Its totient is φ = 21319680.

The previous prime is 55095661. The next prime is 55095683. The reversal of 55095680 is 8659055.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55095683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18452 + ... + 21228.

It is an arithmetic number, because the mean of its divisors is an integer number (2125170).

Almost surely, 255095680 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 55095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68005440).

55095680 is an abundant number, since it is smaller than the sum of its proper divisors (80915200).

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

55095680 is a wasteful number, since it uses less digits than its factorization.

55095680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 38.

The square root of 55095680 is about 7422.6464283300. The cubic root of 55095680 is about 380.5156434681.

The spelling of 55095680 in words is "fifty-five million, ninety-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 992 1240 1984 2480 2777 3968 4960 5554 9920 11108 13885 19840 22216 27770 44432 55540 86087 88864 111080 172174 177728 222160 344348 355456 430435 444320 688696 860870 888640 1377392 1721740 1777280 2754784 3443480 5509568 6886960 11019136 13773920 27547840 55095680