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55135136 = 257475237
BaseRepresentation
bin1101001001010…
…0101110100000
310211202011012002
43102110232200
5103103311021
65245423132
71236432560
oct322245640
9124664162
1055135136
1129138931
121656aaa8
13b565854
147472da0
154c9150b
hex3494ba0

55135136 has 48 divisors (see below), whose sum is σ = 126717696. Its totient is φ = 23122176.

The previous prime is 55135133. The next prime is 55135141. The reversal of 55135136 is 63153155.

It is a junction number, because it is equal to n+sod(n) for n = 55135099 and 55135108.

It is not an unprimeable number, because it can be changed into a prime (55135133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7910 + ... + 13146.

It is an arithmetic number, because the mean of its divisors is an integer number (2639952).

Almost surely, 255135136 is an apocalyptic number.

55135136 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 55135136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63358848).

55135136 is an abundant number, since it is smaller than the sum of its proper divisors (71582560).

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

55135136 is a wasteful number, since it uses less digits than its factorization.

55135136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5301 (or 5293 counting only the distinct ones).

The product of its digits is 6750, while the sum is 29.

The square root of 55135136 is about 7425.3037648301. The cubic root of 55135136 is about 380.6064554441.

The spelling of 55135136 in words is "fifty-five million, one hundred thirty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 188 224 329 376 658 752 1316 1504 2632 5237 5264 10474 10528 20948 36659 41896 73318 83792 146636 167584 246139 293272 492278 586544 984556 1173088 1722973 1969112 3445946 3938224 6891892 7876448 13783784 27567568 55135136