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248388240 = 24351034951
BaseRepresentation
bin11101100111000…
…01101010010000
3122022101102121110
432303201222100
51002041410430
640351453320
76104156652
oct1663415220
9568342543
10248388240
11118232841
126b227240
133c5c9bb9
1424dba6d2
1516c167b0
hexece1a90

248388240 has 40 divisors (see below), whose sum is σ = 770004288. Its totient is φ = 66236800.

The previous prime is 248388227. The next prime is 248388269. The reversal of 248388240 is 42883842.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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, 517236 + ... + 517715.

Almost surely, 2248388240 is an apocalyptic number.

248388240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248388240 is an abundant number, since it is smaller than the sum of its proper divisors (521616048).

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

248388240 is a wasteful number, since it uses less digits than its factorization.

248388240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034967 (or 1034961 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 248388240 is about 15760.3375598367. The cubic root of 248388240 is about 628.6038115941.

The spelling of 248388240 in words is "two hundred forty-eight million, three hundred eighty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1034951 2069902 3104853 4139804 5174755 6209706 8279608 10349510 12419412 15524265 16559216 20699020 24838824 31048530 41398040 49677648 62097060 82796080 124194120 248388240