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52492160 = 275711717
BaseRepresentation
bin1100100000111…
…1011110000000
310122202212201002
43020033132000
5101414222120
65113031132
71205114240
oct310173600
9118685632
1052492160
11276a3156
12156b54a8
13ab4b866
146d85b20
15491d375
hex320f780

52492160 has 64 divisors (see below), whose sum is σ = 143428320. Its totient is φ = 17995776.

The previous prime is 52492151. The next prime is 52492169. The reversal of 52492160 is 6129425.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (52492151) and next prime (52492169).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×524921602 = 5510853722931200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52492169) 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 7 ways as a sum of consecutive naturals, for example, 1379 + ... + 10338.

Almost surely, 252492160 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 52492160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71714160).

52492160 is an abundant number, since it is smaller than the sum of its proper divisors (90936160).

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

52492160 is a wasteful number, since it uses less digits than its factorization.

52492160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11743 (or 11731 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 52492160 is about 7245.1473414969. The cubic root of 52492160 is about 374.4249794618.

The spelling of 52492160 in words is "fifty-two million, four hundred ninety-two thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 11717 23434 46868 58585 82019 93736 117170 164038 187472 234340 328076 374944 410095 468680 656152 749888 820190 937360 1312304 1499776 1640380 1874720 2624608 3280760 3749440 5249216 6561520 7498880 10498432 13123040 26246080 52492160