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444709972 = 227191097669
BaseRepresentation
bin11010100000011…
…011110001010100
31010222210121101201
4122200123301110
51402321204342
6112043402244
714006654350
oct3240336124
91128717351
10444709972
11209033203
12104b23384
1371196bc5
14430c2460
1529095db7
hex1a81bc54

444709972 has 48 divisors (see below), whose sum is σ = 944944000. Its totient is φ = 178879104.

The previous prime is 444709943. The next prime is 444710011. The reversal of 444709972 is 279907444.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54154 + ... + 61822.

Almost surely, 2444709972 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 444709972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472472000).

444709972 is an abundant number, since it is smaller than the sum of its proper divisors (500234028).

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

444709972 is a wasteful number, since it uses less digits than its factorization.

444709972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7808 (or 7806 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The square root of 444709972 is about 21088.1476664026. The cubic root of 444709972 is about 763.2947747008.

The spelling of 444709972 in words is "four hundred forty-four million, seven hundred nine thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 14 19 28 38 76 109 133 218 266 436 532 763 1526 2071 3052 4142 7669 8284 14497 15338 28994 30676 53683 57988 107366 145711 214732 291422 582844 835921 1019977 1671842 2039954 3343684 4079908 5851447 11702894 15882499 23405788 31764998 63529996 111177493 222354986 444709972