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253793898 = 23413111959
BaseRepresentation
bin11110010000010…
…01011001101010
3122200120001210000
433020021121222
51004432401043
641103403430
76201132621
oct1710113152
9580501700
10253793898
11120295126
1270bb3576
1340770507
14259c66b8
15174332d3
hexf20966a

253793898 has 40 divisors (see below), whose sum is σ = 573075360. Its totient is φ = 83945160.

The previous prime is 253793893. The next prime is 253793909. The reversal of 253793898 is 898397352.

It is a happy number.

253793898 is a `hidden beast` number, since 253 + 7 + 9 + 389 + 8 = 666.

It is a super-2 number, since 2×2537938982 = 128822685324068808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (253793893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15243 + ... + 27201.

It is an arithmetic number, because the mean of its divisors is an integer number (14326884).

Almost surely, 2253793898 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253793898, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286537680).

253793898 is an abundant number, since it is smaller than the sum of its proper divisors (319281462).

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

253793898 is a wasteful number, since it uses less digits than its factorization.

253793898 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12104 (or 12095 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 253793898 is about 15930.9101434915. The cubic root of 253793898 is about 633.1312142354.

The spelling of 253793898 in words is "two hundred fifty-three million, seven hundred ninety-three thousand, eight hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 54 81 131 162 262 393 786 1179 2358 3537 7074 10611 11959 21222 23918 35877 71754 107631 215262 322893 645786 968679 1566629 1937358 3133258 4699887 9399774 14099661 28199322 42298983 84597966 126896949 253793898