Search a number
-
+
52206976 = 273159223
BaseRepresentation
bin1100011100100…
…1110110000000
310122020101111201
43013021312000
5101331110401
65102550544
71202515633
oct307116600
9118211451
1052206976
1127518968
1215598454
13aa7bb03
146d0dc1a
1548b3b01
hex31c9d80

52206976 has 64 divisors (see below), whose sum is σ = 109670400. Its totient is φ = 24721920.

The previous prime is 52206943. The next prime is 52206977. The reversal of 52206976 is 67960225.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52206977) 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 7 ways as a sum of consecutive naturals, for example, 234001 + ... + 234223.

It is an arithmetic number, because the mean of its divisors is an integer number (1713600).

Almost surely, 252206976 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 52206976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54835200).

52206976 is an abundant number, since it is smaller than the sum of its proper divisors (57463424).

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

52206976 is a wasteful number, since it uses less digits than its factorization.

52206976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 52206976 is about 7225.4395022033. The cubic root of 52206976 is about 373.7456781863.

The spelling of 52206976 in words is "fifty-two million, two hundred six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 31 32 59 62 64 118 124 128 223 236 248 446 472 496 892 944 992 1784 1829 1888 1984 3568 3658 3776 3968 6913 7136 7316 7552 13157 13826 14272 14632 26314 27652 28544 29264 52628 55304 58528 105256 110608 117056 210512 221216 234112 407867 421024 442432 815734 842048 884864 1631468 1684096 3262936 6525872 13051744 26103488 52206976