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83421450 = 23252771373
BaseRepresentation
bin1001111100011…
…10100100001010
312210222020201100
410332032210022
5132323441300
612140002230
72032033140
oct476164412
9183866640
1083421450
11430a8852
1223b30376
131438a808
14b117590
1574cc700
hex4f8e90a

83421450 has 144 divisors (see below), whose sum is σ = 260447616. Its totient is φ = 18748800.

The previous prime is 83421449. The next prime is 83421469. The reversal of 83421450 is 5412438.

It is a Curzon 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 71 ways as a sum of consecutive naturals, for example, 223464 + ... + 223836.

It is an arithmetic number, because the mean of its divisors is an integer number (1808664).

Almost surely, 283421450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83421450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130223808).

83421450 is an abundant number, since it is smaller than the sum of its proper divisors (177026166).

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

83421450 is a wasteful number, since it uses less digits than its factorization.

83421450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 83421450 is about 9133.5343651842. The cubic root of 83421450 is about 436.9441321336.

Adding to 83421450 its reverse (5412438), we get a palindrome (88833888).

The spelling of 83421450 in words is "eighty-three million, four hundred twenty-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 71 75 90 105 126 142 150 175 210 213 225 315 350 355 373 426 450 497 525 630 639 710 746 994 1050 1065 1119 1278 1491 1575 1775 1865 2130 2238 2485 2611 2982 3150 3195 3357 3550 3730 4473 4970 5222 5325 5595 6390 6714 7455 7833 8946 9325 10650 11190 12425 13055 14910 15666 15975 16785 18650 22365 23499 24850 26110 26483 27975 31950 33570 37275 39165 44730 46998 52966 55950 65275 74550 78330 79449 83925 111825 117495 130550 132415 158898 167850 185381 195825 223650 234990 238347 264830 370762 391650 397245 476694 556143 587475 662075 794490 926905 1112286 1174950 1191735 1324150 1668429 1853810 1986225 2383470 2780715 3336858 3972450 4634525 5561430 5958675 8342145 9269050 11917350 13903575 16684290 27807150 41710725 83421450