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52753220 = 225131371481
BaseRepresentation
bin1100100100111…
…1001101000100
310200021010210222
43021033031010
5102001100340
65122403512
71210252322
oct311171504
9120233728
1052753220
1127861303
1215800598
13ac10630
147012d12
1549708b5
hex324f344

52753220 has 48 divisors (see below), whose sum is σ = 120255408. Its totient is φ = 19322880.

The previous prime is 52753199. The next prime is 52753241. The reversal of 52753220 is 2235725.

It is an interprime number because it is at equal distance from previous prime (52753199) and next prime (52753241).

It can be written as a sum of positive squares in 8 ways, for example, as 3444736 + 49308484 = 1856^2 + 7022^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 52753220.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34880 + ... + 36360.

It is an arithmetic number, because the mean of its divisors is an integer number (2505321).

Almost surely, 252753220 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 52753220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60127704).

52753220 is an abundant number, since it is smaller than the sum of its proper divisors (67502188).

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

52753220 is a wasteful number, since it uses less digits than its factorization.

52753220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 26.

The square root of 52753220 is about 7263.1411937260. The cubic root of 52753220 is about 375.0446643097.

Adding to 52753220 its reverse (2235725), we get a palindrome (54988945).

The spelling of 52753220 in words is "fifty-two million, seven hundred fifty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 137 260 274 548 685 1370 1481 1781 2740 2962 3562 5924 7124 7405 8905 14810 17810 19253 29620 35620 38506 77012 96265 192530 202897 385060 405794 811588 1014485 2028970 2637661 4057940 5275322 10550644 13188305 26376610 52753220