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55683072 = 211331953
BaseRepresentation
bin1101010001101…
…0100000000000
310212202222211000
43110122200000
5103223324242
65305252000
71244204214
oct324324000
9125688730
1055683072
1129482575
1216794000
13b6c8083
147576944
154d4da4c
hex351a800

55683072 has 192 divisors, whose sum is σ = 176904000. Its totient is φ = 17252352.

The previous prime is 55683049. The next prime is 55683083. The reversal of 55683072 is 27038655.

55683072 is a `hidden beast` number, since 556 + 8 + 30 + 72 = 666.

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).

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, 1050598 + ... + 1050650.

It is an arithmetic number, because the mean of its divisors is an integer number (921375).

Almost surely, 255683072 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 55683072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88452000).

55683072 is an abundant number, since it is smaller than the sum of its proper divisors (121220928).

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

55683072 is a wasteful number, since it uses less digits than its factorization.

55683072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 55683072 is about 7462.1090852386. The cubic root of 55683072 is about 381.8631308863.

The spelling of 55683072 in words is "fifty-five million, six hundred eighty-three thousand, seventy-two".