Search a number
-
+
55240512 = 263319281
BaseRepresentation
bin1101001010111…
…0011101000000
310211221111201220
43102232131000
5103120144022
65251555040
71240352025
oct322563500
9124844656
1055240512
1129200018
12165bba80
13b5a17c2
14749d54c
154cb285c
hex34ae740

55240512 has 56 divisors (see below), whose sum is σ = 150888192. Its totient is φ = 17817600.

The previous prime is 55240511. The next prime is 55240517. The reversal of 55240512 is 21504255.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55240511) 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, 1312 + ... + 10592.

It is an arithmetic number, because the mean of its divisors is an integer number (2694432).

Almost surely, 255240512 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 55240512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75444096).

55240512 is an abundant number, since it is smaller than the sum of its proper divisors (95647680).

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

55240512 is a wasteful number, since it uses less digits than its factorization.

55240512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9327 (or 9317 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 55240512 is about 7432.3961143093. The cubic root of 55240512 is about 380.8487767945.

Adding to 55240512 its reverse (21504255), we get a palindrome (76744767).

The spelling of 55240512 in words is "fifty-five million, two hundred forty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 5952 9281 18562 27843 37124 55686 74248 111372 148496 222744 287711 296992 445488 575422 593984 863133 890976 1150844 1726266 1781952 2301688 3452532 4603376 6905064 9206752 13810128 18413504 27620256 55240512