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52879242 = 231319311151
BaseRepresentation
bin1100100110110…
…1111110001010
310200111112200110
43021231332022
5102014113432
65125215150
71211315613
oct311557612
9120445613
1052879242
1127937a59
12158614b6
13ac55ac0
147046c0a
154997dcc
hex326df8a

52879242 has 64 divisors (see below), whose sum is σ = 123863040. Its totient is φ = 14904000.

The previous prime is 52879241. The next prime is 52879243. The reversal of 52879242 is 24297825.

It is an interprime number because it is at equal distance from previous prime (52879241) and next prime (52879243).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 52879242.

It is not an unprimeable number, because it can be changed into a prime (52879241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45367 + ... + 46517.

It is an arithmetic number, because the mean of its divisors is an integer number (1935360).

Almost surely, 252879242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52879242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61931520).

52879242 is an abundant number, since it is smaller than the sum of its proper divisors (70983798).

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

52879242 is a wasteful number, since it uses less digits than its factorization.

52879242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219.

The product of its digits is 80640, while the sum is 39.

The square root of 52879242 is about 7271.8114662029. The cubic root of 52879242 is about 375.3430744818.

The spelling of 52879242 in words is "fifty-two million, eight hundred seventy-nine thousand, two hundred forty-two".

Divisors: 1 2 3 6 13 19 26 31 38 39 57 62 78 93 114 186 247 403 494 589 741 806 1151 1178 1209 1482 1767 2302 2418 3453 3534 6906 7657 14963 15314 21869 22971 29926 35681 43738 44889 45942 65607 71362 89778 107043 131214 214086 284297 463853 568594 677939 852891 927706 1355878 1391559 1705782 2033817 2783118 4067634 8813207 17626414 26439621 52879242