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55093696 = 267313967
BaseRepresentation
bin1101001000101…
…0100111000000
310211200001100021
43102022213000
5103100444241
65244503224
71236201010
oct322124700
9124601307
1055093696
112910a789
121654ab14
13b54ca28
147461c40
154c840d1
hex348a9c0

55093696 has 56 divisors (see below), whose sum is σ = 129007616. Its totient is φ = 22844160.

The previous prime is 55093679. The next prime is 55093697. The reversal of 55093696 is 69639055.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55093697) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11905 + ... + 15871.

Almost surely, 255093696 is an apocalyptic number.

55093696 is a gapful number since it is divisible by the number (56) 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 55093696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64503808).

55093696 is an abundant number, since it is smaller than the sum of its proper divisors (73913920).

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

55093696 is a wasteful number, since it uses less digits than its factorization.

55093696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4017 (or 4007 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 43.

The square root of 55093696 is about 7422.5127820705. The cubic root of 55093696 is about 380.5110759466.

The spelling of 55093696 in words is "fifty-five million, ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 434 448 496 868 992 1736 1984 3472 3967 6944 7934 13888 15868 27769 31736 55538 63472 111076 122977 126944 222152 245954 253888 444304 491908 860839 888608 983816 1721678 1777216 1967632 3443356 3935264 6886712 7870528 13773424 27546848 55093696