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55465000 = 235411093
BaseRepresentation
bin1101001110010…
…1010000101000
310212100220200021
43103211100220
5103144340000
65300450224
71242305353
oct323452050
9125326607
1055465000
1129343748
12166a9974
13b64ca36
14751b29a
154d0911a
hex34e5428

55465000 has 40 divisors (see below), whose sum is σ = 129966210. Its totient is φ = 22184000.

The previous prime is 55464991. The next prime is 55465001. The reversal of 55465000 is 56455.

It can be written as a sum of positive squares in 5 ways, for example, as 4571044 + 50893956 = 2138^2 + 7134^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (55465001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 547 + ... + 10546.

Almost surely, 255465000 is an apocalyptic number.

55465000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55465000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64983105).

55465000 is an abundant number, since it is smaller than the sum of its proper divisors (74501210).

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

55465000 is a wasteful number, since it uses less digits than its factorization.

55465000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11119 (or 11100 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 55465000 is about 7447.4827962205. The cubic root of 55465000 is about 381.3639809698.

The spelling of 55465000 in words is "fifty-five million, four hundred sixty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 11093 22186 44372 55465 88744 110930 221860 277325 443720 554650 1109300 1386625 2218600 2773250 5546500 6933125 11093000 13866250 27732500 55465000