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52978296 = 2337973251
BaseRepresentation
bin1100101000011…
…0001001111000
310200200120120010
43022012021320
5102030301141
65131301520
71212210450
oct312061170
9120616503
1052978296
11279a5418
12158aa8a0
13ac8bc07
147070d60
1549b7416
hex3286278

52978296 has 64 divisors (see below), whose sum is σ = 152974080. Its totient is φ = 14976000.

The previous prime is 52978271. The next prime is 52978297. The reversal of 52978296 is 69287925.

Its product of digits (544320) is a multiple of the sum of its prime divisors (3360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52978297) 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 15 ways as a sum of consecutive naturals, for example, 14671 + ... + 17921.

It is an arithmetic number, because the mean of its divisors is an integer number (2390220).

Almost surely, 252978296 is an apocalyptic number.

52978296 is a gapful number since it is divisible by the number (56) 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 52978296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76487040).

52978296 is an abundant number, since it is smaller than the sum of its proper divisors (99995784).

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

52978296 is a wasteful number, since it uses less digits than its factorization.

52978296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3364 (or 3360 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 52978296 is about 7278.6190998018. The cubic root of 52978296 is about 375.5772939396.

The spelling of 52978296 in words is "fifty-two million, nine hundred seventy-eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 97 168 194 291 388 582 679 776 1164 1358 2037 2328 2716 3251 4074 5432 6502 8148 9753 13004 16296 19506 22757 26008 39012 45514 68271 78024 91028 136542 182056 273084 315347 546168 630694 946041 1261388 1892082 2207429 2522776 3784164 4414858 6622287 7568328 8829716 13244574 17659432 26489148 52978296