Search a number
-
+
549542400 = 29352111301
BaseRepresentation
bin100000110000010…
…101101000000000
31102022001122110020
4200300111220000
52111140324100
6130310333440
716422014301
oct4060255000
91368048406
10549542400
11262225380
1213405a280
1389b10124
1452db07a8
15333a25a0
hex20c15a00

549542400 has 240 divisors, whose sum is σ = 1981935648. Its totient is φ = 133120000.

The previous prime is 549542387. The next prime is 549542401. The reversal of 549542400 is 4245945.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (549542401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421750 + ... + 423050.

Almost surely, 2549542400 is an apocalyptic number.

549542400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 549542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990967824).

549542400 is an abundant number, since it is smaller than the sum of its proper divisors (1432393248).

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

549542400 is a wasteful number, since it uses less digits than its factorization.

549542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 549542400 is about 23442.3207042306. The cubic root of 549542400 is about 819.0939824554.

It can be divided in two parts, 5495 and 42400, that added together give a triangular number (47895 = T309).

The spelling of 549542400 in words is "five hundred forty-nine million, five hundred forty-two thousand, four hundred".