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52756560 = 24325471559
BaseRepresentation
bin1100100101000…
…0000001010000
310200021022101200
43021100001100
5102001202220
65122431200
71210265133
oct311200120
9120238350
1052756560
112786386a
1215802500
13ac11ccc
14701421a
154971890
hex3250050

52756560 has 120 divisors (see below), whose sum is σ = 181059840. Its totient is φ = 13760256.

The previous prime is 52756507. The next prime is 52756567. The reversal of 52756560 is 6565725.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52756567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33061 + ... + 34619.

It is an arithmetic number, because the mean of its divisors is an integer number (1508832).

Almost surely, 252756560 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 52756560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90529920).

52756560 is an abundant number, since it is smaller than the sum of its proper divisors (128303280).

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

52756560 is a wasteful number, since it uses less digits than its factorization.

52756560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 52756560 is about 7263.3711181517. The cubic root of 52756560 is about 375.0525792941.

The spelling of 52756560 in words is "fifty-two million, seven hundred fifty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 47 48 60 72 80 90 94 120 141 144 180 188 235 240 282 360 376 423 470 564 705 720 752 846 940 1128 1410 1559 1692 1880 2115 2256 2820 3118 3384 3760 4230 4677 5640 6236 6768 7795 8460 9354 11280 12472 14031 15590 16920 18708 23385 24944 28062 31180 33840 37416 46770 56124 62360 70155 73273 74832 93540 112248 124720 140310 146546 187080 219819 224496 280620 293092 366365 374160 439638 561240 586184 659457 732730 879276 1099095 1122480 1172368 1318914 1465460 1758552 2198190 2637828 2930920 3297285 3517104 4396380 5275656 5861840 6594570 8792760 10551312 13189140 17585520 26378280 52756560