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30064048 = 2472311237
BaseRepresentation
bin111001010101…
…1110110110000
32002120102010021
41302223312300
530144022143
62552213224
7513353200
oct162536660
962512107
1030064048
1115a74623
12a09a214
1362c81a1
143dc8400
15298cced
hex1cabdb0

30064048 has 60 divisors (see below), whose sum is σ = 70001472. Its totient is φ = 12458880.

The previous prime is 30064043. The next prime is 30064051. The reversal of 30064048 is 84046003.

It is not an unprimeable number, because it can be changed into a prime (30064043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23686 + ... + 24922.

Almost surely, 230064048 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 30064048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35000736).

30064048 is an abundant number, since it is smaller than the sum of its proper divisors (39937424).

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

30064048 is a wasteful number, since it uses less digits than its factorization.

30064048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 30064048 is about 5483.0692134971. The cubic root of 30064048 is about 310.9442178948.

The spelling of 30064048 in words is "thirty million, sixty-four thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 196 217 248 392 434 496 784 868 1237 1519 1736 2474 3038 3472 4948 6076 8659 9896 12152 17318 19792 24304 34636 38347 60613 69272 76694 121226 138544 153388 242452 268429 306776 484904 536858 613552 969808 1073716 1879003 2147432 3758006 4294864 7516012 15032024 30064048