Search a number
-
+
55772928 = 28338069
BaseRepresentation
bin1101010011000…
…0011100000000
310212221120002000
43110300130000
5103234213203
65311224000
71245030201
oct324603400
9125846060
1055772928
1129534032
1216818000
13b729c43
14759b5a8
154d6a4a3
hex3530700

55772928 has 72 divisors (see below), whose sum is σ = 164950800. Its totient is φ = 18588672.

The previous prime is 55772921. The next prime is 55772933. The reversal of 55772928 is 82927755.

It is a happy number.

55772928 is a `hidden beast` number, since 557 + 7 + 2 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×557729282 = 6221238995386368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55772921) 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, 2878 + ... + 10946.

Almost surely, 255772928 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 55772928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82475400).

55772928 is an abundant number, since it is smaller than the sum of its proper divisors (109177872).

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

55772928 is an equidigital number, since it uses as much as digits as its factorization.

55772928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8094 (or 8074 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 55772928 is about 7468.1274761482. The cubic root of 55772928 is about 382.0684251942.

The spelling of 55772928 in words is "fifty-five million, seven hundred seventy-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 8069 16138 24207 32276 48414 64552 72621 96828 129104 145242 193656 217863 258208 290484 387312 435726 516416 580968 774624 871452 1032832 1161936 1549248 1742904 2065664 2323872 3098496 3485808 4647744 6196992 6971616 9295488 13943232 18590976 27886464 55772928