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55308480 = 2635173389
BaseRepresentation
bin1101001011111…
…1000011000000
310212001221222020
43102333003000
5103124332410
65253241440
71241054133
oct322770300
9125057866
1055308480
1129247097
1216633280
13b5c6716
1474ba21a
154cc7a70
hex34bf0c0

55308480 has 112 divisors (see below), whose sum is σ = 185988960. Its totient is φ = 13877248.

The previous prime is 55308479. The next prime is 55308493. The reversal of 55308480 is 8480355.

It is a happy number.

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, 14626 + ... + 18014.

Almost surely, 255308480 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 55308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92994480).

55308480 is an abundant number, since it is smaller than the sum of its proper divisors (130680480).

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

55308480 is a wasteful number, since it uses less digits than its factorization.

55308480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3426 (or 3416 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 55308480 is about 7436.9671237676. The cubic root of 55308480 is about 381.0049117243.

The spelling of 55308480 in words is "fifty-five million, three hundred eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 320 340 408 480 510 544 680 816 960 1020 1088 1360 1632 2040 2720 3264 3389 4080 5440 6778 8160 10167 13556 16320 16945 20334 27112 33890 40668 50835 54224 57613 67780 81336 101670 108448 115226 135560 162672 172839 203340 216896 230452 271120 288065 325344 345678 406680 460904 542240 576130 650688 691356 813360 864195 921808 1084480 1152260 1382712 1626720 1728390 1843616 2304520 2765424 3253440 3456780 3687232 4609040 5530848 6913560 9218080 11061696 13827120 18436160 27654240 55308480