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30946048 = 28722467
BaseRepresentation
bin111011000001…
…1001100000000
32011020012222221
41312003030000
530410233143
63023140424
7524015500
oct166031400
964205887
1030946048
1116517251
12a444714
136546793
144177a00
152ab42ed
hex1d83300

30946048 has 54 divisors (see below), whose sum is σ = 71885436. Its totient is φ = 13257216.

The previous prime is 30946043. The next prime is 30946049. The reversal of 30946048 is 84064903.

It is not an unprimeable number, because it can be changed into a prime (30946043) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11311 + ... + 13777.

Almost surely, 230946048 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 30946048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35942718).

30946048 is an abundant number, since it is smaller than the sum of its proper divisors (40939388).

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

30946048 is an equidigital number, since it uses as much as digits as its factorization.

30946048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2497 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 30946048 is about 5562.9172203081. The cubic root of 30946048 is about 313.9557188019.

The spelling of 30946048 in words is "thirty million, nine hundred forty-six thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 2467 3136 4934 6272 9868 12544 17269 19736 34538 39472 69076 78944 120883 138152 157888 241766 276304 315776 483532 552608 631552 967064 1105216 1934128 2210432 3868256 4420864 7736512 15473024 30946048