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248880352 = 2573730029
BaseRepresentation
bin11101101010110…
…01110011100000
3122100022102122211
432311121303200
51002203132402
640410211504
76111306460
oct1665316340
9570272584
10248880352
11118539546
126b423b94
133c73cba6
14250a7ba0
1516cb24d7
hexed59ce0

248880352 has 48 divisors (see below), whose sum is σ = 575134560. Its totient is φ = 103776768.

The previous prime is 248880329. The next prime is 248880367. The reversal of 248880352 is 253088842.

It is a super-2 number, since 2×2488803522 = 123882859223287808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6727 + ... + 23302.

It is an arithmetic number, because the mean of its divisors is an integer number (11981970).

Almost surely, 2248880352 is an apocalyptic number.

It is an amenable number.

248880352 is an abundant number, since it is smaller than the sum of its proper divisors (326254208).

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

248880352 is a wasteful number, since it uses less digits than its factorization.

248880352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30083 (or 30075 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The square root of 248880352 is about 15775.9421905635. The cubic root of 248880352 is about 629.0186720976.

The spelling of 248880352 in words is "two hundred forty-eight million, eight hundred eighty thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 518 592 1036 1184 2072 4144 8288 30029 60058 120116 210203 240232 420406 480464 840812 960928 1111073 1681624 2222146 3363248 4444292 6726496 7777511 8888584 15555022 17777168 31110044 35554336 62220088 124440176 248880352