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55148544 = 215321117
BaseRepresentation
bin1101001001100…
…0000000000000
310211202211120200
43102120000000
5103104223134
65250005200
71236516633
oct322300000
9124684520
1055148544
1129147a10
1216576800
13b56b999
147477c1a
154c95499
hex3498000

55148544 has 192 divisors, whose sum is σ = 184022280. Its totient is φ = 15728640.

The previous prime is 55148521. The next prime is 55148551. The reversal of 55148544 is 44584155.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

Its product of digits (64000) is a multiple of the sum of its prime factors (64).

It is a junction number, because it is equal to n+sod(n) for n = 55148499 and 55148508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3244024 + ... + 3244040.

Almost surely, 255148544 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 55148544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92011140).

55148544 is an abundant number, since it is smaller than the sum of its proper divisors (128873736).

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

55148544 is a wasteful number, since it uses less digits than its factorization.

55148544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 33 counting only the distinct ones).

The product of its digits is 64000, while the sum is 36.

The square root of 55148544 is about 7426.2065686325. The cubic root of 55148544 is about 380.6373054496.

The spelling of 55148544 in words is "fifty-five million, one hundred forty-eight thousand, five hundred forty-four".