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253938216 = 23372365719
BaseRepresentation
bin11110010001011…
…00101000101000
3122200211101202010
433020230220220
51010002010331
641110435520
76202303440
oct1710545050
9580741663
10253938216
111203835a4
1271062ba0
13407c10cc
1425a23120
1517460e46
hexf22ca28

253938216 has 64 divisors (see below), whose sum is σ = 757094400. Its totient is φ = 69398208.

The previous prime is 253938203. The next prime is 253938253. The reversal of 253938216 is 612839352.

253938216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28996 + ... + 36723.

It is an arithmetic number, because the mean of its divisors is an integer number (11829600).

Almost surely, 2253938216 is an apocalyptic number.

It is an amenable number.

253938216 is an abundant number, since it is smaller than the sum of its proper divisors (503156184).

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

253938216 is a wasteful number, since it uses less digits than its factorization.

253938216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65758 (or 65754 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 253938216 is about 15935.4389961494. The cubic root of 253938216 is about 633.2511999369.

It can be divided in two parts, 2539 and 38216, that added together give a triangular number (40755 = T285).

The spelling of 253938216 in words is "two hundred fifty-three million, nine hundred thirty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1932 3864 65719 131438 197157 262876 394314 460033 525752 788628 920066 1380099 1511537 1577256 1840132 2760198 3023074 3680264 4534611 5520396 6046148 9069222 10580759 11040792 12092296 18138444 21161518 31742277 36276888 42323036 63484554 84646072 126969108 253938216