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55506816 = 273316061
BaseRepresentation
bin1101001110111…
…1011110000000
310212110001001000
43103233132000
5103202204231
65301412000
71242541311
oct323573600
9125401030
1055506816
1129372102
121670a000
13b665a91
14752c608
154d166e6
hex34ef780

55506816 has 64 divisors (see below), whose sum is σ = 163832400. Its totient is φ = 18501120.

The previous prime is 55506793. The next prime is 55506827. The reversal of 55506816 is 61860555.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4575 + ... + 11486.

Almost surely, 255506816 is an apocalyptic number.

It is an amenable number.

55506816 is an abundant number, since it is smaller than the sum of its proper divisors (108325584).

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

55506816 is a wasteful number, since it uses less digits than its factorization.

55506816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16084 (or 16066 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 55506816 is about 7450.2896587985. The cubic root of 55506816 is about 381.4597958099.

The spelling of 55506816 in words is "fifty-five million, five hundred six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 16061 32122 48183 64244 96366 128488 144549 192732 256976 289098 385464 433647 513952 578196 770928 867294 1027904 1156392 1541856 1734588 2055808 2312784 3083712 3469176 4625568 6167424 6938352 9251136 13876704 18502272 27753408 55506816