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252426384 = 24327250423
BaseRepresentation
bin11110000101110…
…11100010010000
3122120222120220100
433002323202100
51004110121014
641014212400
76153405660
oct1702734220
9576876810
10252426384
1111a540751
1270654100
13403b1c32
142574c1a0
1517263009
hexf0bb890

252426384 has 60 divisors (see below), whose sum is σ = 807366976. Its totient is φ = 72121536.

The previous prime is 252426373. The next prime is 252426407. The reversal of 252426384 is 483624252.

252426384 is a `hidden beast` number, since 252 + 4 + 26 + 384 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 124204 + ... + 126219.

Almost surely, 2252426384 is an apocalyptic number.

252426384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252426384 is an abundant number, since it is smaller than the sum of its proper divisors (554940592).

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

252426384 is a wasteful number, since it uses less digits than its factorization.

252426384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250444 (or 250435 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 252426384 is about 15887.9320240238. The cubic root of 252426384 is about 631.9920017147.

It can be divided in two parts, 25242 and 6384, that added together give a triangular number (31626 = T251).

The spelling of 252426384 in words is "two hundred fifty-two million, four hundred twenty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 250423 500846 751269 1001692 1502538 1752961 2003384 2253807 3005076 3505922 4006768 4507614 5258883 6010152 7011844 9015228 10517766 12020304 14023688 15776649 18030456 21035532 28047376 31553298 36060912 42071064 63106596 84142128 126213192 252426384