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52960440 = 233513171997
BaseRepresentation
bin1100101000000…
…1110010111000
310200122200001210
43022001302320
5102024213230
65131043120
71212104421
oct312016270
9120580053
1052960440
1127992a65
12158a04a0
13ac83a50
147068648
1549b1eb0
hex3281cb8

52960440 has 128 divisors (see below), whose sum is σ = 181258560. Its totient is φ = 12263424.

The previous prime is 52960433. The next prime is 52960441. The reversal of 52960440 is 4406925.

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 = 52960398 and 52960407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52960441) 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 31 ways as a sum of consecutive naturals, for example, 25522 + ... + 27518.

Almost surely, 252960440 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 52960440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90629280).

52960440 is an abundant number, since it is smaller than the sum of its proper divisors (128298120).

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

52960440 is a wasteful number, since it uses less digits than its factorization.

52960440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 52960440 is about 7277.3923901354. The cubic root of 52960440 is about 375.5350938800.

The spelling of 52960440 in words is "fifty-two million, nine hundred sixty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 17 20 24 26 30 34 39 40 51 52 60 65 68 78 85 102 104 120 130 136 156 170 195 204 221 255 260 312 340 390 408 442 510 520 663 680 780 884 1020 1105 1326 1560 1768 1997 2040 2210 2652 3315 3994 4420 5304 5991 6630 7988 8840 9985 11982 13260 15976 19970 23964 25961 26520 29955 33949 39940 47928 51922 59910 67898 77883 79880 101847 103844 119820 129805 135796 155766 169745 203694 207688 239640 259610 271592 311532 339490 389415 407388 441337 509235 519220 623064 678980 778830 814776 882674 1018470 1038440 1324011 1357960 1557660 1765348 2036940 2206685 2648022 3115320 3530696 4073880 4413370 5296044 6620055 8826740 10592088 13240110 17653480 26480220 52960440