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53367840 = 2532537061
BaseRepresentation
bin1100101110010…
…1010000100000
310201102100220200
43023211100200
5102130232330
65143505200
71215422241
oct313452040
9121370820
1053367840
1128141059
1215a58200
13b097306
147132cc8
154a42a60
hex32e5420

53367840 has 72 divisors (see below), whose sum is σ = 182122668. Its totient is φ = 14231040.

The previous prime is 53367829. The next prime is 53367851. The reversal of 53367840 is 4876335.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (53367829) and next prime (53367851).

It can be written as a sum of positive squares in 2 ways, for example, as 52012944 + 1354896 = 7212^2 + 1164^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 53367795 and 53367804.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17091 + ... + 19970.

Almost surely, 253367840 is an apocalyptic number.

It is an amenable number.

53367840 is an abundant number, since it is smaller than the sum of its proper divisors (128754828).

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

53367840 is a wasteful number, since it uses less digits than its factorization.

53367840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37082 (or 37071 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 53367840 is about 7305.3295613545. The cubic root of 53367840 is about 376.4955740923.

The spelling of 53367840 in words is "fifty-three million, three hundred sixty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 37061 74122 111183 148244 185305 222366 296488 333549 370610 444732 555915 592976 667098 741220 889464 1111830 1185952 1334196 1482440 1667745 1778928 2223660 2668392 2964880 3335490 3557856 4447320 5336784 5929760 6670980 8894640 10673568 13341960 17789280 26683920 53367840