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53863040 = 2757111093
BaseRepresentation
bin1100110101111…
…0001010000000
310202100112012102
43031132022000
5102242104130
65202245532
71222554050
oct315361200
9122315172
1053863040
112844a110
12160568a8
13b20b82a
147221560
154ade645
hex335e280

53863040 has 128 divisors (see below), whose sum is σ = 160686720. Its totient is φ = 16773120.

The previous prime is 53863037. The next prime is 53863087. The reversal of 53863040 is 4036835.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 53862994 and 53863012.

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 15 ways as a sum of consecutive naturals, for example, 48734 + ... + 49826.

It is an arithmetic number, because the mean of its divisors is an integer number (1255365).

Almost surely, 253863040 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 53863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80343360).

53863040 is an abundant number, since it is smaller than the sum of its proper divisors (106823680).

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

53863040 is a wasteful number, since it uses less digits than its factorization.

53863040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 53863040 is about 7339.1443642975. The cubic root of 53863040 is about 377.6564911173.

Adding to 53863040 its reverse (4036835), we get a palindrome (57899875).

The spelling of 53863040 in words is "fifty-three million, eight hundred sixty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 640 704 770 880 896 1093 1120 1232 1408 1540 1760 2186 2240 2464 3080 3520 4372 4480 4928 5465 6160 7040 7651 8744 9856 10930 12023 12320 15302 17488 21860 24046 24640 30604 34976 38255 43720 48092 49280 60115 61208 69952 76510 84161 87440 96184 120230 122416 139904 153020 168322 174880 192368 240460 244832 306040 336644 349760 384736 420805 480920 489664 612080 673288 699520 769472 841610 961840 979328 1224160 1346576 1538944 1683220 1923680 2448320 2693152 3366440 3847360 4896640 5386304 6732880 7694720 10772608 13465760 26931520 53863040