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53753856 = 211313673
BaseRepresentation
bin1100110100001…
…1100000000000
310202010222102120
43031003200000
5102230110411
65200044240
71221620532
oct315034000
9122128376
1053753856
1128385082
1216003680
13b1a0c20
1471d3852
154abc106
hex3343800

53753856 has 96 divisors (see below), whose sum is σ = 154561680. Its totient is φ = 16515072.

The previous prime is 53753839. The next prime is 53753867. The reversal of 53753856 is 65835735.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79536 + ... + 80208.

Almost surely, 253753856 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 53753856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77280840).

53753856 is an abundant number, since it is smaller than the sum of its proper divisors (100807824).

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

53753856 is a wasteful number, since it uses less digits than its factorization.

53753856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 691 counting only the distinct ones).

The product of its digits is 378000, while the sum is 42.

The square root of 53753856 is about 7331.7021216086. The cubic root of 53753856 is about 377.4011401435.

The spelling of 53753856 in words is "fifty-three million, seven hundred fifty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 673 768 832 1024 1248 1346 1536 1664 2019 2048 2496 2692 3072 3328 4038 4992 5384 6144 6656 8076 8749 9984 10768 13312 16152 17498 19968 21536 26247 26624 32304 34996 39936 43072 52494 64608 69992 79872 86144 104988 129216 139984 172288 209976 258432 279968 344576 419952 516864 559936 689152 839904 1033728 1119872 1378304 1679808 2067456 2239744 3359616 4134912 4479488 6719232 8958976 13438464 17917952 26876928 53753856