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42446430 = 23451329139
BaseRepresentation
bin1010000111101…
…0111001011110
32221212111120000
42201322321132
541331241210
64113435130
71023534345
oct241727136
987774500
1042446430
1121a616a4
121226baa6
138a42240
1458ccb5c
153ad6ac0
hex287ae5e

42446430 has 160 divisors (see below), whose sum is σ = 128066400. Its totient is φ = 10015488.

The previous prime is 42446413. The next prime is 42446441. The reversal of 42446430 is 3464424.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42446394 and 42446403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 305301 + ... + 305439.

It is an arithmetic number, because the mean of its divisors is an integer number (800415).

Almost surely, 242446430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42446430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64033200).

42446430 is an abundant number, since it is smaller than the sum of its proper divisors (85619970).

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

42446430 is a wasteful number, since it uses less digits than its factorization.

42446430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 42446430 is about 6515.0924782385. The cubic root of 42446430 is about 348.8299157824.

The spelling of 42446430 in words is "forty-two million, four hundred forty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 29 30 39 45 54 58 65 78 81 87 90 117 130 135 139 145 162 174 195 234 261 270 278 290 351 377 390 405 417 435 522 585 695 702 754 783 810 834 870 1053 1131 1170 1251 1305 1390 1566 1755 1807 1885 2085 2106 2262 2349 2502 2610 3393 3510 3614 3753 3770 3915 4031 4170 4698 5265 5421 5655 6255 6786 7506 7830 8062 9035 10179 10530 10842 11259 11310 11745 12093 12510 16263 16965 18070 18765 20155 20358 22518 23490 24186 27105 30537 32526 33930 36279 37530 40310 48789 50895 52403 54210 56295 60465 61074 72558 81315 97578 101790 104806 108837 112590 120930 146367 152685 157209 162630 181395 217674 243945 262015 292734 305370 314418 326511 362790 471627 487890 524030 544185 653022 731835 786045 943254 1088370 1414881 1463670 1572090 1632555 2358135 2829762 3265110 4244643 4716270 7074405 8489286 14148810 21223215 42446430