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242499420 = 22355411217
BaseRepresentation
bin11100111010000…
…11111101011100
3121220022020200000
432131003331130
5444034440140
640021334300
76003132252
oct1635037534
9556266600
10242499420
11114980449
1269267390
133b3176a7
14242c65d2
1516451a30
hexe743f5c

242499420 has 144 divisors (see below), whose sum is σ = 782072928. Its totient is φ = 63037440.

The previous prime is 242499401. The next prime is 242499449. The reversal of 242499420 is 24994242.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198652 + ... + 199868.

It is an arithmetic number, because the mean of its divisors is an integer number (5431062).

Almost surely, 2242499420 is an apocalyptic number.

242499420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242499420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391036464).

242499420 is an abundant number, since it is smaller than the sum of its proper divisors (539573508).

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

242499420 is a wasteful number, since it uses less digits than its factorization.

242499420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 242499420 is about 15572.3928797086. The cubic root of 242499420 is about 623.5963550760.

The spelling of 242499420 in words is "two hundred forty-two million, four hundred ninety-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 81 82 90 108 123 135 162 164 180 205 243 246 270 324 369 405 410 486 492 540 615 738 810 820 972 1107 1215 1217 1230 1476 1620 1845 2214 2430 2434 2460 3321 3651 3690 4428 4860 4868 5535 6085 6642 7302 7380 9963 10953 11070 12170 13284 14604 16605 18255 19926 21906 22140 24340 32859 33210 36510 39852 43812 49815 49897 54765 65718 66420 73020 98577 99630 99794 109530 131436 149691 164295 197154 199260 199588 219060 249485 295731 299382 328590 394308 449073 492885 498970 591462 598764 657180 748455 898146 985770 997940 1182924 1347219 1478655 1496910 1796292 1971540 2245365 2694438 2957310 2993820 4041657 4490730 5388876 5914620 6736095 8083314 8981460 12124971 13472190 16166628 20208285 24249942 26944380 40416570 48499884 60624855 80833140 121249710 242499420