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53350900 = 2252533509
BaseRepresentation
bin1100101110000…
…1000111110100
310201101111200021
43023201013310
5102124212100
65143254524
71215321661
oct313410764
9121344607
1053350900
112812a359
1215a4a444
13b08c6a5
14712aa68
154a3ca1a
hex32e11f4

53350900 has 18 divisors (see below), whose sum is σ = 115771670. Its totient is φ = 21340320.

The previous prime is 53350897. The next prime is 53350901. The reversal of 53350900 is 905335.

53350900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 527076 + 52823824 = 726^2 + 7268^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53350901) 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 5 ways as a sum of consecutive naturals, for example, 266655 + ... + 266854.

Almost surely, 253350900 is an apocalyptic number.

53350900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53350900 is an abundant number, since it is smaller than the sum of its proper divisors (62420770).

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

53350900 is a wasteful number, since it uses less digits than its factorization.

53350900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533523 (or 533516 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 25.

The square root of 53350900 is about 7304.1700418323. The cubic root of 53350900 is about 376.4557341815.

The spelling of 53350900 in words is "fifty-three million, three hundred fifty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 533509 1067018 2134036 2667545 5335090 10670180 13337725 26675450 53350900