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52706640 = 24357137229
BaseRepresentation
bin1100100100001…
…1110101010000
310200011202220210
43021003311100
5101443103030
65121404120
71206666450
oct311036520
9120152823
1052706640
112782a308
1215799640
13abc537c
146dddd60
154961bb0
hex3243d50

52706640 has 160 divisors (see below), whose sum is σ = 188916480. Its totient is φ = 11907072.

The previous prime is 52706617. The next prime is 52706653. The reversal of 52706640 is 4660725.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 52706598 and 52706607.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 230046 + ... + 230274.

It is an arithmetic number, because the mean of its divisors is an integer number (1180728).

Almost surely, 252706640 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 52706640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94458240).

52706640 is an abundant number, since it is smaller than the sum of its proper divisors (136209840).

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

52706640 is a wasteful number, since it uses less digits than its factorization.

52706640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 52706640 is about 7259.9338839965. The cubic root of 52706640 is about 374.9342462490.

The spelling of 52706640 in words is "fifty-two million, seven hundred six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 137 140 168 210 229 240 274 280 336 411 420 458 548 560 685 687 822 840 916 959 1096 1145 1370 1374 1603 1644 1680 1832 1918 2055 2192 2290 2740 2748 2877 3206 3288 3435 3664 3836 4110 4580 4795 4809 5480 5496 5754 6412 6576 6870 7672 8015 8220 9160 9590 9618 10960 10992 11508 12824 13740 14385 15344 16030 16440 18320 19180 19236 23016 24045 25648 27480 28770 31373 32060 32880 38360 38472 46032 48090 54960 57540 62746 64120 76720 76944 94119 96180 115080 125492 128240 156865 188238 192360 219611 230160 250984 313730 376476 384720 439222 470595 501968 627460 658833 752952 878444 941190 1098055 1254920 1317666 1505904 1756888 1882380 2196110 2509840 2635332 3294165 3513776 3764760 4392220 5270664 6588330 7529520 8784440 10541328 13176660 17568880 26353320 52706640