[go: up one dir, main page]

Search a number
-
+
55542240 = 25335132343
BaseRepresentation
bin1101001111100…
…0000111100000
310212111211122000
43103320013200
5103204322430
65302244000
71243046505
oct323700740
9125454560
1055542240
1129396786
1216726600
13b678c40
14753b4ac
154d21e60
hex34f81e0

55542240 has 384 divisors, whose sum is σ = 223534080. Its totient is φ = 12773376.

The previous prime is 55542239. The next prime is 55542241. The reversal of 55542240 is 4224555.

It is an interprime number because it is at equal distance from previous prime (55542239) and next prime (55542241).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55542241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1291659 + ... + 1291701.

It is an arithmetic number, because the mean of its divisors is an integer number (582120).

Almost surely, 255542240 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 55542240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111767040).

55542240 is an abundant number, since it is smaller than the sum of its proper divisors (167991840).

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

55542240 is a wasteful number, since it uses less digits than its factorization.

55542240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 55542240 is about 7452.6666368489. Note that the first 4 decimals coincide. The cubic root of 55542240 is about 381.5409267364.

Adding to 55542240 its reverse (4224555), we get a palindrome (59766795).

The spelling of 55542240 in words is "fifty-five million, five hundred forty-two thousand, two hundred forty".