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253134448 = 24710321943
BaseRepresentation
bin11110001011010…
…00011001110000
3122122022120011221
433011220121300
51004300300243
641041314424
76162415210
oct1705503160
9578276157
10253134448
1111a984726
1270935a14
134059c2c8
1425894240
1517352bed
hexf168670

253134448 has 40 divisors (see below), whose sum is σ = 565979648. Its totient is φ = 107428032.

The previous prime is 253134439. The next prime is 253134457. The reversal of 253134448 is 844431352.

It is an interprime number because it is at equal distance from previous prime (253134439) and next prime (253134457).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 565 + ... + 22507.

Almost surely, 2253134448 is an apocalyptic number.

253134448 is a gapful number since it is divisible by the number (28) 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 253134448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282989824).

253134448 is an abundant number, since it is smaller than the sum of its proper divisors (312845200).

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

253134448 is a wasteful number, since it uses less digits than its factorization.

253134448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22061 (or 22055 counting only the distinct ones).

The product of its digits is 46080, while the sum is 34.

The square root of 253134448 is about 15910.1994959208. The cubic root of 253134448 is about 632.5823692506.

The spelling of 253134448 in words is "two hundred fifty-three million, one hundred thirty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 103 112 206 412 721 824 1442 1648 2884 5768 11536 21943 43886 87772 153601 175544 307202 351088 614404 1228808 2260129 2457616 4520258 9040516 15820903 18081032 31641806 36162064 63283612 126567224 253134448