Search a number
-
+
52084704 = 2537179433
BaseRepresentation
bin1100011010101…
…1111111100000
310122000011210010
43012223333200
5101313202304
65100204520
71201466310
oct306537740
9118004703
1052084704
1127445011
1215539740
13aa38269
146cbb440
15488c789
hex31abfe0

52084704 has 96 divisors (see below), whose sum is σ = 157489920. Its totient is φ = 14764032.

The previous prime is 52084693. The next prime is 52084709. The reversal of 52084704 is 40748025.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52084709) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120072 + ... + 120504.

It is an arithmetic number, because the mean of its divisors is an integer number (1640520).

Almost surely, 252084704 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 52084704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78744960).

52084704 is an abundant number, since it is smaller than the sum of its proper divisors (105405216).

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

52084704 is a wasteful number, since it uses less digits than its factorization.

52084704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 52084704 is about 7216.9733268178. The cubic root of 52084704 is about 373.4536715241.

The spelling of 52084704 in words is "fifty-two million, eighty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 179 224 336 358 433 537 672 716 866 1074 1253 1299 1432 1732 2148 2506 2598 2864 3031 3464 3759 4296 5012 5196 5728 6062 6928 7518 8592 9093 10024 10392 12124 13856 15036 17184 18186 20048 20784 24248 30072 36372 40096 41568 48496 60144 72744 77507 96992 120288 145488 155014 232521 290976 310028 465042 542549 620056 930084 1085098 1240112 1627647 1860168 2170196 2480224 3255294 3720336 4340392 6510588 7440672 8680784 13021176 17361568 26042352 52084704