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53348820 = 22357373433
BaseRepresentation
bin1100101110000…
…0100111010100
310201101101211020
43023200213110
5102124130240
65143241140
71215312630
oct313404724
9121341736
1053348820
1128128838
1215a491b0
13b08b765
147129dc0
154a3c0d0
hex32e09d4

53348820 has 96 divisors (see below), whose sum is σ = 175381248. Its totient is φ = 11860992.

The previous prime is 53348819. The next prime is 53348929. The reversal of 53348820 is 2884335.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13824 + ... + 17256.

It is an arithmetic number, because the mean of its divisors is an integer number (1826888).

Almost surely, 253348820 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 53348820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87690624).

53348820 is an abundant number, since it is smaller than the sum of its proper divisors (122032428).

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

53348820 is a wasteful number, since it uses less digits than its factorization.

53348820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3489 (or 3487 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 53348820 is about 7304.0276560265. The cubic root of 53348820 is about 376.4508418047.

The spelling of 53348820 in words is "fifty-three million, three hundred forty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 60 70 74 84 105 111 140 148 185 210 222 259 370 420 444 518 555 740 777 1036 1110 1295 1554 2220 2590 3108 3433 3885 5180 6866 7770 10299 13732 15540 17165 20598 24031 34330 41196 48062 51495 68660 72093 96124 102990 120155 127021 144186 205980 240310 254042 288372 360465 381063 480620 508084 635105 720930 762126 889147 1270210 1441860 1524252 1778294 1905315 2540420 2667441 3556588 3810630 4445735 5334882 7621260 8891470 10669764 13337205 17782940 26674410 53348820