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442369158 = 23731119541
BaseRepresentation
bin11010010111100…
…000010010000110
31010211101200101220
4122113200102012
51401221303113
6111521301210
713651035000
oct3227402206
91124350356
10442369158
11207784550
12104194806
13708575ca
1442a73370
1528c82523
hex1a5e0486

442369158 has 64 divisors (see below), whose sum is σ = 1125619200. Its totient is φ = 114895200.

The previous prime is 442369157. The next prime is 442369159. The reversal of 442369158 is 851963244.

It is an interprime number because it is at equal distance from previous prime (442369157) and next prime (442369159).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442369157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12868 + ... + 32408.

It is an arithmetic number, because the mean of its divisors is an integer number (17587800).

Almost surely, 2442369158 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442369158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562809600).

442369158 is an abundant number, since it is smaller than the sum of its proper divisors (683250042).

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

442369158 is a wasteful number, since it uses less digits than its factorization.

442369158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19578 (or 19564 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 442369158 is about 21032.5737369443. The cubic root of 442369158 is about 761.9531698061.

The spelling of 442369158 in words is "four hundred forty-two million, three hundred sixty-nine thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 343 462 539 686 1029 1078 1617 2058 3234 3773 7546 11319 19541 22638 39082 58623 117246 136787 214951 273574 410361 429902 644853 820722 957509 1289706 1504657 1915018 2872527 3009314 4513971 5745054 6702563 9027942 10532599 13405126 20107689 21065198 31597797 40215378 63195594 73728193 147456386 221184579 442369158