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53206272 = 283273299
BaseRepresentation
bin1100101011110…
…1110100000000
310201010011021200
43022331310000
5102110100042
65140221200
71214150220
oct312756400
9121104250
1053206272
1128040729
121599a800
13b03b902
1470d0080
154a0ec4c
hex32bdd00

53206272 has 108 divisors (see below), whose sum is σ = 175375200. Its totient is φ = 15197184.

The previous prime is 53206229. The next prime is 53206273. The reversal of 53206272 is 27260235.

53206272 is a `hidden beast` number, since 5 + 32 + 0 + 627 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53206273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14479 + ... + 17777.

Almost surely, 253206272 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 53206272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87687600).

53206272 is an abundant number, since it is smaller than the sum of its proper divisors (122168928).

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

53206272 is a wasteful number, since it uses less digits than its factorization.

53206272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3328 (or 3311 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 53206272 is about 7294.2629511144. The cubic root of 53206272 is about 376.1152506215.

The spelling of 53206272 in words is "fifty-three million, two hundred six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 3299 4032 5376 6598 8064 9897 13196 16128 19794 23093 26392 29691 39588 46186 52784 59382 69279 79176 92372 105568 118764 138558 158352 184744 207837 211136 237528 277116 316704 369488 415674 422272 475056 554232 633408 738976 831348 844544 950112 1108464 1266816 1477952 1662696 1900224 2216928 2533632 2955904 3325392 3800448 4433856 5911808 6650784 7600896 8867712 13301568 17735424 26603136 53206272