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52365040 = 2457137193
BaseRepresentation
bin1100011111000…
…0011011110000
310122112102022221
43013300123300
5101401140130
65110210424
71204044520
oct307603360
9118472287
1052365040
11276166a2
1215653a14
13ab05a40
146d51680
1548e587a
hex31f06f0

52365040 has 80 divisors (see below), whose sum is σ = 149865408. Its totient is φ = 16570368.

The previous prime is 52365029. The next prime is 52365073. The reversal of 52365040 is 4056325.

52365040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 52364996 and 52365014.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3684 + ... + 10876.

Almost surely, 252365040 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 52365040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74932704).

52365040 is an abundant number, since it is smaller than the sum of its proper divisors (97500368).

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

52365040 is a wasteful number, since it uses less digits than its factorization.

52365040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7226 (or 7220 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 52365040 is about 7236.3692553656. The cubic root of 52365040 is about 374.1224874522.

The spelling of 52365040 in words is "fifty-two million, three hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7193 7280 14386 28772 35965 50351 57544 71930 93509 100702 115088 143860 187018 201404 251755 287720 374036 402808 467545 503510 575440 654563 748072 805616 935090 1007020 1309126 1496144 1870180 2014040 2618252 3272815 3740360 4028080 5236504 6545630 7480720 10473008 13091260 26182520 52365040