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52780840 = 235733847
BaseRepresentation
bin1100100101010…
…1111100101000
310200022112200221
43021111330220
5102002441330
65123135424
71210426000
oct311257450
9120275627
1052780840
1127880032
1215814574
13ac20088
14701d000
154978b7a
hex3255f28

52780840 has 64 divisors (see below), whose sum is σ = 138528000. Its totient is φ = 18091584.

The previous prime is 52780829. The next prime is 52780843. The reversal of 52780840 is 4808725.

52780840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×527808402 = 5571634142211200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52780796 and 52780805.

It is not an unprimeable number, because it can be changed into a prime (52780843) 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, 11797 + ... + 15643.

It is an arithmetic number, because the mean of its divisors is an integer number (2164500).

Almost surely, 252780840 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 52780840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69264000).

52780840 is an abundant number, since it is smaller than the sum of its proper divisors (85747160).

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

52780840 is a wasteful number, since it uses less digits than its factorization.

52780840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879 (or 3861 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 52780840 is about 7265.0423260983. The cubic root of 52780840 is about 375.1101069267.

The spelling of 52780840 in words is "fifty-two million, seven hundred eighty thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 980 1372 1715 1960 2744 3430 3847 6860 7694 13720 15388 19235 26929 30776 38470 53858 76940 107716 134645 153880 188503 215432 269290 377006 538580 754012 942515 1077160 1319521 1508024 1885030 2639042 3770060 5278084 6597605 7540120 10556168 13195210 26390420 52780840