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253674738 = 232193720047
BaseRepresentation
bin11110001111011…
…00010011110010
3122200100000022200
433013230103302
51004420042423
641101044030
76200125332
oct1707542362
9580300280
10253674738
11120213649
1270b56616
134072b1c5
14259950c2
151740cd43
hexf1ec4f2

253674738 has 48 divisors (see below), whose sum is σ = 594222720. Its totient is φ = 77938848.

The previous prime is 253674737. The next prime is 253674763. The reversal of 253674738 is 837476352.

It is a junction number, because it is equal to n+sod(n) for n = 253674693 and 253674702.

It is not an unprimeable number, because it can be changed into a prime (253674737) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2631 + ... + 22677.

It is an arithmetic number, because the mean of its divisors is an integer number (12379640).

Almost surely, 2253674738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253674738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297111360).

253674738 is an abundant number, since it is smaller than the sum of its proper divisors (340547982).

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

253674738 is a wasteful number, since it uses less digits than its factorization.

253674738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20111 (or 20108 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 253674738 is about 15927.1698050846. The cubic root of 253674738 is about 633.0321105578.

It can be divided in two parts, 25 and 3674738, that added together give a palindrome (3674763).

The spelling of 253674738 in words is "two hundred fifty-three million, six hundred seventy-four thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 37 38 57 74 111 114 171 222 333 342 666 703 1406 2109 4218 6327 12654 20047 40094 60141 120282 180423 360846 380893 741739 761786 1142679 1483478 2225217 2285358 3428037 4450434 6675651 6856074 13351302 14093041 28186082 42279123 84558246 126837369 253674738