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52573920 = 2535715647
BaseRepresentation
bin1100100010001…
…1011011100000
310122221000212020
43020203123200
5101424331140
65114501440
71205604510
oct310433340
9118830766
1052573920
1127749623
1215734880
13ab79b39
146da7840
1549376d0
hex32236e0

52573920 has 96 divisors (see below), whose sum is σ = 189278208. Its totient is φ = 12016128.

The previous prime is 52573891. The next prime is 52573921. The reversal of 52573920 is 2937525.

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 (52573921) 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 15 ways as a sum of consecutive naturals, for example, 4464 + ... + 11183.

It is an arithmetic number, because the mean of its divisors is an integer number (1971648).

Almost surely, 252573920 is an apocalyptic number.

It is an amenable number.

52573920 is an abundant number, since it is smaller than the sum of its proper divisors (136704288).

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

52573920 is a wasteful number, since it uses less digits than its factorization.

52573920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15672 (or 15664 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 52573920 is about 7250.7875434328. The cubic root of 52573920 is about 374.6192758173.

The spelling of 52573920 in words is "fifty-two million, five hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 15647 31294 46941 62588 78235 93882 109529 125176 156470 187764 219058 234705 250352 312940 328587 375528 438116 469410 500704 547645 625880 657174 751056 876232 938820 1095290 1251760 1314348 1502112 1642935 1752464 1877640 2190580 2503520 2628696 3285870 3504928 3755280 4381160 5257392 6571740 7510560 8762320 10514784 13143480 17524640 26286960 52573920