Search a number
-
+
553261400 = 23528333329
BaseRepresentation
bin100000111110100…
…001100101011000
31102120001120221222
4200332201211120
52113113331100
6130522151212
716465433666
oct4076414530
91376046858
10553261400
1126433552a
12135352508
138a812b13
145369bc36
1533889485
hex20fa1958

553261400 has 48 divisors (see below), whose sum is σ = 1301869800. Its totient is φ = 218631680.

The previous prime is 553261363. The next prime is 553261409. The reversal of 553261400 is 4162355.

It is a self number, because there is not a number n which added to its sum of digits gives 553261400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553261409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65 + ... + 33264.

Almost surely, 2553261400 is an apocalyptic number.

553261400 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 553261400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650934900).

553261400 is an abundant number, since it is smaller than the sum of its proper divisors (748608400).

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

553261400 is a wasteful number, since it uses less digits than its factorization.

553261400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33428 (or 33419 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 553261400 is about 23521.5093053146. The cubic root of 553261400 is about 820.9375554287.

The spelling of 553261400 in words is "five hundred fifty-three million, two hundred sixty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 166 200 332 415 664 830 1660 2075 3320 4150 8300 16600 33329 66658 133316 166645 266632 333290 666580 833225 1333160 1666450 2766307 3332900 5532614 6665800 11065228 13831535 22130456 27663070 55326140 69157675 110652280 138315350 276630700 553261400