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480348064 = 2578272593
BaseRepresentation
bin11100101000011…
…000011110100000
31020110212012200001
4130220120132200
51440432114224
6115355305344
714621614450
oct3450303640
91213765601
10480348064
11227164679
12114a4b254
1378694231
1447b1bd60
152c285544
hex1ca187a0

480348064 has 48 divisors (see below), whose sum is σ = 1082507328. Its totient is φ = 205535232.

The previous prime is 480348053. The next prime is 480348091. The reversal of 480348064 is 460843084.

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, 183952 + ... + 186544.

It is an arithmetic number, because the mean of its divisors is an integer number (22552236).

Almost surely, 2480348064 is an apocalyptic number.

It is an amenable number.

480348064 is an abundant number, since it is smaller than the sum of its proper divisors (602159264).

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

480348064 is a wasteful number, since it uses less digits than its factorization.

480348064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3437 (or 3429 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The square root of 480348064 is about 21916.8442983930. The cubic root of 480348064 is about 783.1627359090.

The spelling of 480348064 in words is "four hundred eighty million, three hundred forty-eight thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 827 1654 2593 3308 5186 5789 6616 10372 11578 13232 18151 20744 23156 26464 36302 41488 46312 72604 82976 92624 145208 185248 290416 580832 2144411 4288822 8577644 15010877 17155288 30021754 34310576 60043508 68621152 120087016 240174032 480348064