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1000378272 = 25319548453
BaseRepresentation
bin111011101000001…
…000111110100000
32120201101111000010
4323220020332200
54022044101042
6243133324520
733535034505
oct7350107640
92521344003
101000378272
11473762003
1223b036740
1312c34040a
1496c094ac
155cc5859c
hex3ba08fa0

1000378272 has 48 divisors (see below), whose sum is σ = 2764208160. Its totient is φ = 315908352.

The previous prime is 1000378259. The next prime is 1000378283. The reversal of 1000378272 is 2728730001.

It is a tau number, because it is divible by the number of its divisors (48).

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, 272403 + ... + 276050.

It is an arithmetic number, because the mean of its divisors is an integer number (57587670).

Almost surely, 21000378272 is an apocalyptic number.

1000378272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000378272 is an abundant number, since it is smaller than the sum of its proper divisors (1763829888).

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

1000378272 is a wasteful number, since it uses less digits than its factorization.

1000378272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548485 (or 548477 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 1000378272 is about 31628.7570416544. The cubic root of 1000378272 is about 1000.1260747712.

The spelling of 1000378272 in words is "one billion, three hundred seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 548453 1096906 1645359 2193812 3290718 4387624 6581436 8775248 10420607 13162872 17550496 20841214 26325744 31261821 41682428 52651488 62523642 83364856 125047284 166729712 250094568 333459424 500189136 1000378272