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442051452 = 223379197263
BaseRepresentation
bin11010010110010…
…010101101111100
31010210210112121000
4122112102231330
51401131121302
6111510410300
713645242513
oct3226225574
91123715530
10442051452
11207587887
12104060990
1370775b0b
14429cd67a
1528c1d31c
hex1a592b7c

442051452 has 96 divisors (see below), whose sum is σ = 1170892800. Its totient is φ = 144196416.

The previous prime is 442051451. The next prime is 442051453. The reversal of 442051452 is 254150244.

442051452 is a `hidden beast` number, since 4 + 4 + 205 + 1 + 452 = 666.

It is an interprime number because it is at equal distance from previous prime (442051451) and next prime (442051453).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442051451) 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, 1680673 + ... + 1680935.

It is an arithmetic number, because the mean of its divisors is an integer number (12196800).

Almost surely, 2442051452 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 442051452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585446400).

442051452 is an abundant number, since it is smaller than the sum of its proper divisors (728841348).

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

442051452 is a wasteful number, since it uses less digits than its factorization.

442051452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 442051452 is about 21025.0196670538. The cubic root of 442051452 is about 761.7707165578.

The spelling of 442051452 in words is "four hundred forty-two million, fifty-one thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 108 158 197 237 263 316 394 474 526 591 711 788 789 948 1052 1182 1422 1578 1773 2133 2364 2367 2844 3156 3546 4266 4734 5319 7092 7101 8532 9468 10638 14202 15563 20777 21276 28404 31126 41554 46689 51811 62252 62331 83108 93378 103622 124662 140067 155433 186756 186993 207244 249324 280134 310866 373986 420201 466299 560268 560979 621732 747972 840402 932598 1121958 1398897 1680804 1865196 2243916 2797794 4093069 5595588 8186138 12279207 16372276 24558414 36837621 49116828 73675242 110512863 147350484 221025726 442051452