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52373664 = 2532783313
BaseRepresentation
bin1100011111001…
…0100010100000
310122112212011100
43013302202200
5101401424124
65110314400
71204111620
oct307624240
9118485140
1052373664
1127622122
1215658a00
13ab09945
146d54880
1548e81c9
hex31f28a0

52373664 has 144 divisors (see below), whose sum is σ = 172815552. Its totient is φ = 14736384.

The previous prime is 52373641. The next prime is 52373683. The reversal of 52373664 is 46637325.

52373664 is a `hidden beast` number, since 523 + 73 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 167172 + ... + 167484.

It is an arithmetic number, because the mean of its divisors is an integer number (1200108).

Almost surely, 252373664 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 52373664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86407776).

52373664 is an abundant number, since it is smaller than the sum of its proper divisors (120441888).

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

52373664 is a wasteful number, since it uses less digits than its factorization.

52373664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 408 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 52373664 is about 7236.9651097680. The cubic root of 52373664 is about 374.1430244061.

The spelling of 52373664 in words is "fifty-two million, three hundred seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 83 84 96 112 126 144 166 168 224 249 252 288 313 332 336 498 504 581 626 664 672 747 939 996 1008 1162 1252 1328 1494 1743 1878 1992 2016 2191 2324 2504 2656 2817 2988 3486 3756 3984 4382 4648 5008 5229 5634 5976 6573 6972 7512 7968 8764 9296 10016 10458 11268 11952 13146 13944 15024 17528 18592 19719 20916 22536 23904 25979 26292 27888 30048 35056 39438 41832 45072 51958 52584 55776 70112 77937 78876 83664 90144 103916 105168 155874 157752 167328 181853 207832 210336 233811 311748 315504 363706 415664 467622 545559 623496 631008 727412 831328 935244 1091118 1246992 1454824 1636677 1870488 2182236 2493984 2909648 3273354 3740976 4364472 5819296 6546708 7481952 8728944 13093416 17457888 26186832 52373664