Search a number
-
+
52829840 = 2457213477
BaseRepresentation
bin1100100110000…
…1111010010000
310200102000220202
43021201322100
5102011023330
65124154332
71211021600
oct311417220
9120360822
1052829840
1127903928
12158389a8
13ac3947b
147032c00
154988445
hex3261e90

52829840 has 60 divisors (see below), whose sum is σ = 142893756. Its totient is φ = 18111744.

The previous prime is 52829837. The next prime is 52829867. The reversal of 52829840 is 4892825.

It can be written as a sum of positive squares in 2 ways, for example, as 27709696 + 25120144 = 5264^2 + 5012^2 .

It is a junction number, because it is equal to n+sod(n) for n = 52829794 and 52829803.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2819 + ... + 10658.

Almost surely, 252829840 is an apocalyptic number.

It is an amenable number.

52829840 is an abundant number, since it is smaller than the sum of its proper divisors (90063916).

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

52829840 is a wasteful number, since it uses less digits than its factorization.

52829840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13504 (or 13491 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 52829840 is about 7268.4138572319. The cubic root of 52829840 is about 375.2261509953.

The spelling of 52829840 in words is "fifty-two million, eight hundred twenty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 13477 26954 53908 67385 94339 107816 134770 188678 215632 269540 377356 471695 539080 660373 754712 943390 1078160 1320746 1509424 1886780 2641492 3301865 3773560 5282984 6603730 7547120 10565968 13207460 26414920 52829840