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57503196 = 2234199341
BaseRepresentation
bin1101101101011…
…0110111011100
311000012110120000
43123112313130
5104210100241
65412254300
71265524542
oct333266734
9130173500
1057503196
112a506003
1217311390
13bbb467a
1478cbd92
1550aceb6
hex36d6ddc

57503196 has 60 divisors (see below), whose sum is σ = 158253480. Its totient is φ = 18156960.

The previous prime is 57503099. The next prime is 57503203. The reversal of 57503196 is 69130575.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 57503196.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1486 + ... + 10826.

It is an arithmetic number, because the mean of its divisors is an integer number (2637558).

Almost surely, 257503196 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 57503196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79126740).

57503196 is an abundant number, since it is smaller than the sum of its proper divisors (100750284).

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

57503196 is a wasteful number, since it uses less digits than its factorization.

57503196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9376 (or 9365 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 57503196 is about 7583.0861791226. The cubic root of 57503196 is about 385.9792824482.

The spelling of 57503196 in words is "fifty-seven million, five hundred three thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1026 1539 2052 3078 6156 9341 18682 28023 37364 56046 84069 112092 168138 177479 252207 336276 354958 504414 532437 709916 756621 1008828 1064874 1513242 1597311 2129748 3026484 3194622 4791933 6389244 9583866 14375799 19167732 28751598 57503196