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442040956 = 22722398057
BaseRepresentation
bin11010010110010…
…000001001111100
31010210210000012021
4122112100021330
51401130302311
6111510245524
713645200100
oct3226201174
91123700167
10442040956
1120757aa05
121040568a4
13707710c6
14429c9900
1528c1a171
hex1a59027c

442040956 has 36 divisors (see below), whose sum is σ = 939003408. Its totient is φ = 181207488.

The previous prime is 442040923. The next prime is 442040981. The reversal of 442040956 is 659040244.

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 11 ways as a sum of consecutive naturals, for example, 44521 + ... + 53536.

It is an arithmetic number, because the mean of its divisors is an integer number (26083428).

Almost surely, 2442040956 is an apocalyptic number.

442040956 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

442040956 is an abundant number, since it is smaller than the sum of its proper divisors (496962452).

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

442040956 is a wasteful number, since it uses less digits than its factorization.

442040956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98098 (or 98089 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 442040956 is about 21024.7700581956. The cubic root of 442040956 is about 761.7646873888.

The spelling of 442040956 in words is "four hundred forty-two million, forty thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 644 1127 2254 4508 98057 196114 392228 686399 1372798 2255311 2745596 4510622 4804793 9021244 9609586 15787177 19219172 31574354 63148708 110510239 221020478 442040956