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242537490 = 23451331743
BaseRepresentation
bin11100111010011…
…01010000010010
3121220101011220000
432131031100102
5444042144430
640022230430
76003351246
oct1635152022
9556334800
10242537490
111149a7008
1269285416
133b32bb10
14242d6426
151645ce60
hexe74d412

242537490 has 160 divisors (see below), whose sum is σ = 725953536. Its totient is φ = 57697920.

The previous prime is 242537467. The next prime is 242537497. The reversal of 242537490 is 94735242.

It is not an unprimeable number, because it can be changed into a prime (242537497) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 326059 + ... + 326801.

Almost surely, 2242537490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242537490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362976768).

242537490 is an abundant number, since it is smaller than the sum of its proper divisors (483416046).

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

242537490 is a wasteful number, since it uses less digits than its factorization.

242537490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 242537490 is about 15573.6151872325. The cubic root of 242537490 is about 623.6289861795.

The spelling of 242537490 in words is "two hundred forty-two million, five hundred thirty-seven thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 31 39 45 54 62 65 78 81 90 93 117 130 135 155 162 186 195 234 270 279 310 351 390 403 405 465 558 585 702 743 806 810 837 930 1053 1170 1209 1395 1486 1674 1755 2015 2106 2229 2418 2511 2790 3510 3627 3715 4030 4185 4458 5022 5265 6045 6687 7254 7430 8370 9659 10530 10881 11145 12090 12555 13374 18135 19318 20061 21762 22290 23033 25110 28977 32643 33435 36270 40122 46066 48295 54405 57954 60183 65286 66870 69099 86931 96590 100305 108810 115165 120366 138198 144885 163215 173862 200610 207297 230330 260793 289770 299429 300915 326430 345495 414594 434655 521586 598858 601830 621891 690990 782379 869310 898287 1036485 1243782 1303965 1497145 1564758 1796574 1865673 2072970 2607930 2694861 2994290 3109455 3731346 3911895 4491435 5389722 6218910 7823790 8084583 8982870 9328365 13474305 16169166 18656730 24253749 26948610 40422915 48507498 80845830 121268745 242537490