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4073962272 = 253593172269
BaseRepresentation
bin1111001011010011…
…1011101100100000
3101111220212201121120
43302310323230200
531320413243042
61512131052240
7202646052012
oct36264735440
911456781546
104073962272
111800711176
12958441080
134cc049883
142a90c81b2
1518c9d4dec
hexf2d3bb20

4073962272 has 96 divisors (see below), whose sum is σ = 10914523200. Its totient is φ = 1330172928.

The previous prime is 4073962271. The next prime is 4073962283. The reversal of 4073962272 is 2722693704.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (4073962271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1794354 + ... + 1796622.

It is an arithmetic number, because the mean of its divisors is an integer number (113692950).

Almost surely, 24073962272 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 4073962272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5457261600).

4073962272 is an abundant number, since it is smaller than the sum of its proper divisors (6840560928).

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

4073962272 is a wasteful number, since it uses less digits than its factorization.

4073962272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2658 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 4073962272 is about 63827.5980434796. The cubic root of 4073962272 is about 1597.1253424749.

The spelling of 4073962272 in words is "four billion, seventy-three million, nine hundred sixty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 317 354 472 634 708 944 951 1268 1416 1888 1902 2269 2536 2832 3804 4538 5072 5664 6807 7608 9076 10144 13614 15216 18152 18703 27228 30432 36304 37406 54456 56109 72608 74812 108912 112218 133871 149624 217824 224436 267742 299248 401613 448872 535484 598496 719273 803226 897744 1070968 1438546 1606452 1795488 2141936 2157819 2877092 3212904 4283872 4315638 5754184 6425808 8631276 11508368 12851616 17262552 23016736 34525104 42437107 69050208 84874214 127311321 169748428 254622642 339496856 509245284 678993712 1018490568 1357987424 2036981136 4073962272