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52780832 = 2513711787
BaseRepresentation
bin1100100101010…
…1111100100000
310200022112200122
43021111330200
5102002441312
65123135412
71210425656
oct311257440
9120275618
1052780832
1127880025
1215814568
13ac20080
14701cdd6
154978b72
hex3255f20

52780832 has 48 divisors (see below), whose sum is σ = 113545152. Its totient is φ = 24003840.

The previous prime is 52780829. The next prime is 52780843. The reversal of 52780832 is 23808725.

It is a happy number.

It is a super-2 number, since 2×527808322 = 5571632453224448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52780792 and 52780801.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28643 + ... + 30429.

It is an arithmetic number, because the mean of its divisors is an integer number (2365524).

Almost surely, 252780832 is an apocalyptic number.

52780832 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52780832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56772576).

52780832 is an abundant number, since it is smaller than the sum of its proper divisors (60764320).

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

52780832 is a wasteful number, since it uses less digits than its factorization.

52780832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 52780832 is about 7265.0417755165. The cubic root of 52780832 is about 375.1100879748.

The spelling of 52780832 in words is "fifty-two million, seven hundred eighty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 71 104 142 208 284 416 568 923 1136 1787 1846 2272 3574 3692 7148 7384 14296 14768 23231 28592 29536 46462 57184 92924 126877 185848 253754 371696 507508 743392 1015016 1649401 2030032 3298802 4060064 6597604 13195208 26390416 52780832