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55711136 = 2513157853
BaseRepresentation
bin1101010010000…
…1010110100000
310212211102022102
43110201112200
5103230224021
65310025532
71244352065
oct324412640
9125742272
1055711136
11294a1668
12167a82a8
13b707a90
147582c6c
154d5700b
hex35215a0

55711136 has 48 divisors (see below), whose sum is σ = 119010024. Its totient is φ = 25519104.

The previous prime is 55711133. The next prime is 55711141. The reversal of 55711136 is 63111755.

It can be written as a sum of positive squares in 4 ways, for example, as 18011536 + 37699600 = 4244^2 + 6140^2 .

It is a junction number, because it is equal to n+sod(n) for n = 55711099 and 55711108.

It is not an unprimeable number, because it can be changed into a prime (55711133) 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, 64886 + ... + 65738.

Almost surely, 255711136 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 55711136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59505012).

55711136 is an abundant number, since it is smaller than the sum of its proper divisors (63298888).

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

55711136 is a wasteful number, since it uses less digits than its factorization.

55711136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1025 counting only the distinct ones).

The product of its digits is 3150, while the sum is 29.

The square root of 55711136 is about 7463.9892818787. The cubic root of 55711136 is about 381.9272725045.

The spelling of 55711136 in words is "fifty-five million, seven hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 157 208 314 416 628 853 1256 1706 2041 2512 3412 4082 5024 6824 8164 11089 13648 16328 22178 27296 32656 44356 65312 88712 133921 177424 267842 354848 535684 1071368 1740973 2142736 3481946 4285472 6963892 13927784 27855568 55711136