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55433664 = 26321113673
BaseRepresentation
bin1101001101110…
…1100111000000
310212022022200200
43103131213000
5103142334124
65300045200
71242115116
oct323354700
9125268620
1055433664
1129322150
1216693800
13b63b6b0
14750dab6
154ceebc9
hex34dd9c0

55433664 has 168 divisors, whose sum is σ = 186946032. Its totient is φ = 15482880.

The previous prime is 55433647. The next prime is 55433669. The reversal of 55433664 is 46633455.

55433664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×554336642 = 6145782208929792, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55433669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82032 + ... + 82704.

It is an arithmetic number, because the mean of its divisors is an integer number (1112774).

Almost surely, 255433664 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 55433664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93473016).

55433664 is an abundant number, since it is smaller than the sum of its proper divisors (131512368).

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

55433664 is a wasteful number, since it uses less digits than its factorization.

55433664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 702 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 55433664 is about 7445.3787009124. The cubic root of 55433664 is about 381.2921478441.

The spelling of 55433664 in words is "fifty-five million, four hundred thirty-three thousand, six hundred sixty-four".