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55461505 = 511612271
BaseRepresentation
bin1101001110010…
…0011010000001
310212100201212211
43103210122001
5103144232010
65300422121
71242262231
oct323443201
9125321784
1055461505
1129341060
12166a7941
13b64b278
147519cc1
154d0808a
hex34e4681

55461505 has 24 divisors (see below), whose sum is σ = 74086272. Its totient is φ = 39528000.

The previous prime is 55461493. The next prime is 55461509. The reversal of 55461505 is 50516455.

It is not a de Polignac number, because 55461505 - 25 = 55461473 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55461509) 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 23 ways as a sum of consecutive naturals, for example, 204520 + ... + 204790.

It is an arithmetic number, because the mean of its divisors is an integer number (3086928).

Almost surely, 255461505 is an apocalyptic number.

55461505 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

55461505 is a deficient number, since it is larger than the sum of its proper divisors (18624767).

55461505 is a wasteful number, since it uses less digits than its factorization.

55461505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 31.

The square root of 55461505 is about 7447.2481494845. The cubic root of 55461505 is about 381.3559705422.

The spelling of 55461505 in words is "fifty-five million, four hundred sixty-one thousand, five hundred five".

Divisors: 1 5 11 55 61 271 305 671 1355 2981 3355 3721 14905 16531 18605 40931 82655 181841 204655 909205 1008391 5041955 11092301 55461505