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53319504 = 2437315119
BaseRepresentation
bin1100101101100…
…1011101010000
310201022220121110
43023121131100
5102122211004
65142453320
71215131310
oct313313520
9121286543
1053319504
1128108807
1215a34240
13b07b304
14711d440
154a33589
hex32d9750

53319504 has 80 divisors (see below), whose sum is σ = 162529280. Its totient is φ = 14739840.

The previous prime is 53319503. The next prime is 53319517. The reversal of 53319504 is 40591335.

53319504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53319503) 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 15 ways as a sum of consecutive naturals, for example, 7857 + ... + 12975.

It is an arithmetic number, because the mean of its divisors is an integer number (2031616).

Almost surely, 253319504 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 53319504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81264640).

53319504 is an abundant number, since it is smaller than the sum of its proper divisors (109209776).

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

53319504 is a wasteful number, since it uses less digits than its factorization.

53319504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5168 (or 5162 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 53319504 is about 7302.0205422883. The cubic root of 53319504 is about 376.3818739876.

The spelling of 53319504 in words is "fifty-three million, three hundred nineteen thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 5119 5208 10238 10416 15357 20476 30714 35833 40952 61428 71666 81904 107499 122856 143332 158689 214998 245712 286664 317378 429996 476067 573328 634756 859992 952134 1110823 1269512 1719984 1904268 2221646 2539024 3332469 3808536 4443292 6664938 7617072 8886584 13329876 17773168 26659752 53319504