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248531392 = 2629359373
BaseRepresentation
bin11101101000001…
…00100111000000
3122022122200222101
432310010213000
51002111001032
640354520144
76105324214
oct1664044700
9568580871
10248531392
1111832034a
126b296054
133c64a0c5
1425016944
1516c43de7
hexed049c0

248531392 has 56 divisors (see below), whose sum is σ = 512978400. Its totient is φ = 119325696.

The previous prime is 248531389. The next prime is 248531401. The reversal of 248531392 is 293135842.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 666118 + ... + 666490.

Almost surely, 2248531392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248531392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256489200).

248531392 is an abundant number, since it is smaller than the sum of its proper divisors (264447008).

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

248531392 is a wasteful number, since it uses less digits than its factorization.

248531392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 763 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The square root of 248531392 is about 15764.8784327695. The cubic root of 248531392 is about 628.7245481360.

The spelling of 248531392 in words is "two hundred forty-eight million, five hundred thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 359 373 464 718 746 928 1436 1492 1856 2872 2984 5744 5968 10411 10817 11488 11936 20822 21634 22976 23872 41644 43268 83288 86536 133907 166576 173072 267814 333152 346144 535628 666304 692288 1071256 2142512 3883303 4285024 7766606 8570048 15533212 31066424 62132848 124265696 248531392