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2930072448 = 27316745691
BaseRepresentation
bin1010111010100101…
…0101101110000000
321120012110002202210
42232221111232000
522000044304243
61202425342120
7132416130162
oct25651255600
97505402683
102930072448
111273a49886
12699337940
1337906c9a4
141db202932
1512237e933
hexaea55b80

2930072448 has 64 divisors (see below), whose sum is σ = 7829781120. Its totient is φ = 970821120.

The previous prime is 2930072429. The next prime is 2930072473. The reversal of 2930072448 is 8442700392.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 41283 + ... + 86973.

It is an arithmetic number, because the mean of its divisors is an integer number (122340330).

Almost surely, 22930072448 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 2930072448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3914890560).

2930072448 is an abundant number, since it is smaller than the sum of its proper divisors (4899708672).

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

2930072448 is a wasteful number, since it uses less digits than its factorization.

2930072448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45875 (or 45863 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 2930072448 is about 54130.1436170273. The cubic root of 2930072448 is about 1430.9554714455.

The spelling of 2930072448 in words is "two billion, nine hundred thirty million, seventy-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 167 192 334 384 501 668 1002 1336 2004 2672 4008 5344 8016 10688 16032 21376 32064 45691 64128 91382 137073 182764 274146 365528 548292 731056 1096584 1462112 2193168 2924224 4386336 5848448 7630397 8772672 15260794 17545344 22891191 30521588 45782382 61043176 91564764 122086352 183129528 244172704 366259056 488345408 732518112 976690816 1465036224 2930072448