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55396096 = 287191627
BaseRepresentation
bin1101001101010…
…0011100000000
310212020102011021
43103110130000
5103140133341
65255155224
71241600440
oct323243400
9125212137
1055396096
11292a69a8
1216675b14
13b627572
147500120
154ce39d1
hex34d4700

55396096 has 72 divisors (see below), whose sum is σ = 133105280. Its totient is φ = 22477824.

The previous prime is 55396073. The next prime is 55396097. The reversal of 55396096 is 69069355.

It is a happy number.

It is a super-3 number, since 3×553960963 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55396097) 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, 33235 + ... + 34861.

Almost surely, 255396096 is an apocalyptic number.

55396096 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 55396096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66552640).

55396096 is an abundant number, since it is smaller than the sum of its proper divisors (77709184).

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

55396096 is a wasteful number, since it uses less digits than its factorization.

55396096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1655 counting only the distinct ones).

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

The square root of 55396096 is about 7442.8553660541. The cubic root of 55396096 is about 381.2059930931.

The spelling of 55396096 in words is "fifty-five million, three hundred ninety-six thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 532 608 896 1064 1216 1627 1792 2128 2432 3254 4256 4864 6508 8512 11389 13016 17024 22778 26032 30913 34048 45556 52064 61826 91112 104128 123652 182224 208256 216391 247304 364448 416512 432782 494608 728896 865564 989216 1457792 1731128 1978432 2915584 3462256 3956864 6924512 7913728 13849024 27698048 55396096