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253050616 = 237132811237
BaseRepresentation
bin11110001010100…
…11111011111000
3122122011022012001
433011103323320
51004240104431
641035430344
76161615620
oct1705237370
9578138161
10253050616
1111a927745
12708b53b4
13405700c0
1425871880
1517337e61
hexf153ef8

253050616 has 64 divisors (see below), whose sum is σ = 586514880. Its totient is φ = 99671040.

The previous prime is 253050547. The next prime is 253050617. The reversal of 253050616 is 616050352.

It is a super-2 number, since 2×2530506162 = 128069228515958912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253050617) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 203950 + ... + 205186.

It is an arithmetic number, because the mean of its divisors is an integer number (9164295).

Almost surely, 2253050616 is an apocalyptic number.

253050616 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253050616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293257440).

253050616 is an abundant number, since it is smaller than the sum of its proper divisors (333464264).

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

253050616 is a wasteful number, since it uses less digits than its factorization.

253050616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 253050616 is about 15907.5647413424. The cubic root of 253050616 is about 632.5125295523.

The spelling of 253050616 in words is "two hundred fifty-three million, fifty thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 281 364 562 728 1124 1237 1967 2248 2474 3653 3934 4948 7306 7868 8659 9896 14612 15736 16081 17318 25571 29224 32162 34636 51142 64324 69272 102284 112567 128648 204568 225134 347597 450268 695194 900536 1390388 2433179 2780776 4518761 4866358 9037522 9732716 18075044 19465432 31631327 36150088 63262654 126525308 253050616