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53329408 = 291117557
BaseRepresentation
bin1100101101101…
…1111000000000
310201100102012021
43023123320000
5102123020113
65143011224
71215202216
oct313337000
9121312167
1053329408
11281151a0
1215a39b14
13b082982
147122cb6
154a3648d
hex32dbe00

53329408 has 80 divisors (see below), whose sum is σ = 123300144. Its totient is φ = 22773760.

The previous prime is 53329403. The next prime is 53329421. The reversal of 53329408 is 80492335.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53329403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95466 + ... + 96022.

Almost surely, 253329408 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 53329408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61650072).

53329408 is an abundant number, since it is smaller than the sum of its proper divisors (69970736).

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

53329408 is a wasteful number, since it uses less digits than its factorization.

53329408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 53329408 is about 7302.6986792555. The cubic root of 53329408 is about 376.4051766256.

The spelling of 53329408 in words is "fifty-three million, three hundred twenty-nine thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 256 272 352 374 512 544 557 704 748 1088 1114 1408 1496 2176 2228 2816 2992 4352 4456 5632 5984 6127 8704 8912 9469 11968 12254 17824 18938 23936 24508 35648 37876 47872 49016 71296 75752 95744 98032 104159 142592 151504 196064 208318 285184 303008 392128 416636 606016 784256 833272 1212032 1568512 1666544 2424064 3137024 3333088 4848128 6666176 13332352 26664704 53329408