Search a number
-
+
55397376 = 210326011
BaseRepresentation
bin1101001101010…
…0110000000000
310212020110220200
43103110300000
5103140204001
65255205200
71241604246
oct323246000
9125213820
1055397376
11292a7961
1216676800
13b628018
147500796
154ce4086
hex34d4c00

55397376 has 66 divisors (see below), whose sum is σ = 159985332. Its totient is φ = 18462720.

The previous prime is 55397371. The next prime is 55397387. The reversal of 55397376 is 67379355.

55397376 is a `hidden beast` number, since 553 + 97 + 3 + 7 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (55397371) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6211 + ... + 12221.

Almost surely, 255397376 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 55397376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79992666).

55397376 is an abundant number, since it is smaller than the sum of its proper divisors (104587956).

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

55397376 is a wasteful number, since it uses less digits than its factorization.

55397376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6037 (or 6016 counting only the distinct ones).

The product of its digits is 595350, while the sum is 45.

The square root of 55397376 is about 7442.9413540616. The cubic root of 55397376 is about 381.2089291599.

The spelling of 55397376 in words is "fifty-five million, three hundred ninety-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 6011 9216 12022 18033 24044 36066 48088 54099 72132 96176 108198 144264 192352 216396 288528 384704 432792 577056 769408 865584 1154112 1538816 1731168 2308224 3077632 3462336 4616448 6155264 6924672 9232896 13849344 18465792 27698688 55397376