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252940384 = 2523557617
BaseRepresentation
bin11110001001110…
…01000001100000
3122121221200222101
433010321001200
51004223043014
641033220144
76160646344
oct1704710140
9577850871
10252940384
1111a861944
1270861654
1340531b88
1425843624
1517315474
hexf139060

252940384 has 48 divisors (see below), whose sum is σ = 521404128. Its totient is φ = 120558592.

The previous prime is 252940381. The next prime is 252940393. The reversal of 252940384 is 483049252.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252940381) by changing a digit.

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, 409644 + ... + 410260.

It is an arithmetic number, because the mean of its divisors is an integer number (10862586).

Almost surely, 2252940384 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 252940384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260702064).

252940384 is an abundant number, since it is smaller than the sum of its proper divisors (268463744).

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

252940384 is a wasteful number, since it uses less digits than its factorization.

252940384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 252940384 is about 15904.0995972737. The cubic root of 252940384 is about 632.4206727678.

The spelling of 252940384 in words is "two hundred fifty-two million, nine hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 557 617 736 1114 1234 2228 2468 4456 4936 8912 9872 12811 14191 17824 19744 25622 28382 51244 56764 102488 113528 204976 227056 343669 409952 454112 687338 1374676 2749352 5498704 7904387 10997408 15808774 31617548 63235096 126470192 252940384