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412585248 = 2534297763
BaseRepresentation
bin11000100101111…
…000110100100000
31001202100111120010
4120211320310200
51321110211443
6104535044520
713136626305
oct3045706440
91052314503
10412585248
111a1991449
12b6210740
1367629aaa
143cb1d0ac
152634c733
hex18978d20

412585248 has 24 divisors (see below), whose sum is σ = 1083036528. Its totient is φ = 137528384.

The previous prime is 412585241. The next prime is 412585249. The reversal of 412585248 is 842585214.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (412585241) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2148786 + ... + 2148977.

It is an arithmetic number, because the mean of its divisors is an integer number (45126522).

Almost surely, 2412585248 is an apocalyptic number.

412585248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

412585248 is an abundant number, since it is smaller than the sum of its proper divisors (670451280).

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

412585248 is a wasteful number, since it uses less digits than its factorization.

412585248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4297776 (or 4297768 counting only the distinct ones).

The product of its digits is 102400, while the sum is 39.

The square root of 412585248 is about 20312.1945638574. The cubic root of 412585248 is about 744.4540528219.

The spelling of 412585248 in words is "four hundred twelve million, five hundred eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4297763 8595526 12893289 17191052 25786578 34382104 51573156 68764208 103146312 137528416 206292624 412585248