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53299400 = 23527113461
BaseRepresentation
bin1100101101010…
…0100011001000
310201021220000212
43023110203020
5102121040100
65142220252
71215015560
oct313244310
9121256025
1053299400
11280a46a0
1215a24688
13b07210b
147115da0
154a2c635
hex32d48c8

53299400 has 96 divisors (see below), whose sum is σ = 154543680. Its totient is φ = 16608000.

The previous prime is 53299399. The next prime is 53299409. The reversal of 53299400 is 499235.

It is not an unprimeable number, because it can be changed into a prime (53299409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13670 + ... + 17130.

It is an arithmetic number, because the mean of its divisors is an integer number (1609830).

Almost surely, 253299400 is an apocalyptic number.

53299400 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 53299400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77271840).

53299400 is an abundant number, since it is smaller than the sum of its proper divisors (101244280).

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

53299400 is a wasteful number, since it uses less digits than its factorization.

53299400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3495 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 53299400 is about 7300.6438072269. The cubic root of 53299400 is about 376.3345633924.

The spelling of 53299400 in words is "fifty-three million, two hundred ninety-nine thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 140 154 175 200 220 275 280 308 350 385 440 550 616 700 770 1100 1400 1540 1925 2200 3080 3461 3850 6922 7700 13844 15400 17305 24227 27688 34610 38071 48454 69220 76142 86525 96908 121135 138440 152284 173050 190355 193816 242270 266497 304568 346100 380710 484540 532994 605675 692200 761420 951775 969080 1065988 1211350 1332485 1522840 1903550 2131976 2422700 2664970 3807100 4845400 5329940 6662425 7614200 10659880 13324850 26649700 53299400