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107481248 = 2574391093
BaseRepresentation
bin1100110100000…
…00100010100000
321111020121112222
412122000202200
5210003344443
614355410212
72443401260
oct632004240
9244217488
10107481248
1155741286
122bbb3968
1319362a94
14103bb7a0
159681468
hex66808a0

107481248 has 48 divisors (see below), whose sum is σ = 242605440. Its totient is φ = 45916416.

The previous prime is 107481229. The next prime is 107481251. The reversal of 107481248 is 842184701.

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, 97790 + ... + 98882.

It is an arithmetic number, because the mean of its divisors is an integer number (5054280).

Almost surely, 2107481248 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 107481248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121302720).

107481248 is an abundant number, since it is smaller than the sum of its proper divisors (135124192).

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

107481248 is a wasteful number, since it uses less digits than its factorization.

107481248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The square root of 107481248 is about 10367.3163354843. The cubic root of 107481248 is about 475.4566216621.

The spelling of 107481248 in words is "one hundred seven million, four hundred eighty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 439 878 1093 1756 2186 3073 3512 4372 6146 7024 7651 8744 12292 14048 15302 17488 24584 30604 34976 49168 61208 98336 122416 244832 479827 959654 1919308 3358789 3838616 6717578 7677232 13435156 15354464 26870312 53740624 107481248