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55434780 = 22345191801
BaseRepresentation
bin1101001101110…
…1111000011100
310212022101020000
43103131320130
5103142403110
65300054300
71242121302
oct323357034
9125271200
1055434780
1129322a75
1216694390
13b63c05b
147510272
154d001c0
hex34dde1c

55434780 has 120 divisors (see below), whose sum is σ = 183155280. Its totient is φ = 13996800.

The previous prime is 55434763. The next prime is 55434781. The reversal of 55434780 is 8743455.

55434780 is a `hidden beast` number, since 554 + 34 + 78 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55434781) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29880 + ... + 31680.

It is an arithmetic number, because the mean of its divisors is an integer number (1526294).

Almost surely, 255434780 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 55434780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91577640).

55434780 is an abundant number, since it is smaller than the sum of its proper divisors (127720500).

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

55434780 is a wasteful number, since it uses less digits than its factorization.

55434780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 55434780 is about 7445.4536463536. The cubic root of 55434780 is about 381.2947065732.

The spelling of 55434780 in words is "fifty-five million, four hundred thirty-four thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 270 285 324 342 380 405 513 540 570 684 810 855 1026 1140 1539 1620 1710 1801 2052 2565 3078 3420 3602 5130 5403 6156 7204 7695 9005 10260 10806 15390 16209 18010 21612 27015 30780 32418 34219 36020 48627 54030 64836 68438 81045 97254 102657 108060 136876 145881 162090 171095 194508 205314 243135 291762 307971 324180 342190 410628 486270 513285 583524 615942 684380 729405 923913 972540 1026570 1231884 1458810 1539855 1847826 2053140 2771739 2917620 3079710 3695652 4619565 5543478 6159420 9239130 11086956 13858695 18478260 27717390 55434780