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442488744 = 23343312063
BaseRepresentation
bin11010010111111…
…101011110101000
31010211121202110000
4122113331132220
51401234114434
6111524023000
713652043435
oct3227753650
91124552400
10442488744
11207856385
12104231a60
1370899b79
1442aa4b8c
1528ca7b99
hex1a5fd7a8

442488744 has 80 divisors (see below), whose sum is σ = 1243725120. Its totient is φ = 146979360.

The previous prime is 442488719. The next prime is 442488793. The reversal of 442488744 is 447884244.

It is a self number, because there is not a number n which added to its sum of digits gives 442488744.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 213457 + ... + 215519.

It is an arithmetic number, because the mean of its divisors is an integer number (15546564).

Almost surely, 2442488744 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 442488744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621862560).

442488744 is an abundant number, since it is smaller than the sum of its proper divisors (801236376).

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

442488744 is a wasteful number, since it uses less digits than its factorization.

442488744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412 (or 2399 counting only the distinct ones).

The product of its digits is 917504, while the sum is 45.

The square root of 442488744 is about 21035.4164208841. The cubic root of 442488744 is about 762.0218234186.

The spelling of 442488744 in words is "four hundred forty-two million, four hundred eighty-eight thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 331 648 662 993 1324 1986 2063 2648 2979 3972 4126 5958 6189 7944 8252 8937 11916 12378 16504 17874 18567 23832 24756 26811 35748 37134 49512 53622 55701 71496 74268 107244 111402 148536 167103 214488 222804 334206 445608 668412 682853 1336824 1365706 2048559 2731412 4097118 5462824 6145677 8194236 12291354 16388472 18437031 24582708 36874062 49165416 55311093 73748124 110622186 147496248 221244372 442488744