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253475568 = 24341311493
BaseRepresentation
bin11110001101110…
…11101011110000
3122122221220010000
433012323223300
51004342204233
641052510000
76165335553
oct1706735360
9578856100
10253475568
11120097a45
1270a7b300
134068b658
142594269a
15173bdd13
hexf1bbaf0

253475568 has 100 divisors (see below), whose sum is σ = 739727208. Its totient is φ = 83790720.

The previous prime is 253475531. The next prime is 253475581. The reversal of 253475568 is 865574352.

253475568 is a `hidden beast` number, since 2 + 53 + 47 + 556 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 169030 + ... + 170522.

Almost surely, 2253475568 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 253475568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369863604).

253475568 is an abundant number, since it is smaller than the sum of its proper divisors (486251640).

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

253475568 is a wasteful number, since it uses less digits than its factorization.

253475568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1629 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 253475568 is about 15920.9160540466. The cubic root of 253475568 is about 632.8663943893.

The spelling of 253475568 in words is "two hundred fifty-three million, four hundred seventy-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 131 144 162 216 262 324 393 432 524 648 786 1048 1179 1296 1493 1572 2096 2358 2986 3144 3537 4479 4716 5972 6288 7074 8958 9432 10611 11944 13437 14148 17916 18864 21222 23888 26874 28296 35832 40311 42444 53748 56592 71664 80622 84888 107496 120933 161244 169776 195583 214992 241866 322488 391166 483732 586749 644976 782332 967464 1173498 1564664 1760247 1934928 2346996 3129328 3520494 4693992 5280741 7040988 9387984 10561482 14081976 15842223 21122964 28163952 31684446 42245928 63368892 84491856 126737784 253475568