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52244976 = 2437297229
BaseRepresentation
bin1100011101001…
…1000111110000
310122022022122010
43013103013300
5101333314401
65103442520
71203034500
oct307230760
9118268563
1052244976
1127544473
12155b6440
13aa931b4
146d1da00
1548beed6
hex31d31f0

52244976 has 120 divisors (see below), whose sum is σ = 159312720. Its totient is φ = 14708736.

The previous prime is 52244971. The next prime is 52244981. The reversal of 52244976 is 67944225.

52244976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52244971) and next prime (52244981).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52244971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228030 + ... + 228258.

It is an arithmetic number, because the mean of its divisors is an integer number (1327606).

Almost surely, 252244976 is an apocalyptic number.

52244976 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 52244976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79656360).

52244976 is an abundant number, since it is smaller than the sum of its proper divisors (107067744).

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

52244976 is a wasteful number, since it uses less digits than its factorization.

52244976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 338 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 52244976 is about 7228.0686216997. The cubic root of 52244976 is about 373.8363358750.

The spelling of 52244976 in words is "fifty-two million, two hundred forty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 97 98 112 147 168 194 196 229 291 294 336 388 392 458 582 588 679 687 776 784 916 1164 1176 1358 1374 1552 1603 1832 2037 2328 2352 2716 2748 3206 3664 4074 4656 4753 4809 5432 5496 6412 8148 9506 9618 10864 10992 11221 12824 14259 16296 19012 19236 22213 22442 25648 28518 32592 33663 38024 38472 44426 44884 57036 66639 67326 76048 76944 88852 89768 114072 133278 134652 155491 177704 179536 228144 266556 269304 310982 355408 466473 533112 538608 621964 932946 1066224 1088437 1243928 1865892 2176874 2487856 3265311 3731784 4353748 6530622 7463568 8707496 13061244 17414992 26122488 52244976