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42540498 = 23371113787
BaseRepresentation
bin1010001001000…
…1110111010010
32222001021121000
42202101313102
541342243443
64115442430
71024405530
oct242216722
988037530
1042540498
1122016340
12122b6416
138a75cc0
145915150
153b048d3
hex2891dd2

42540498 has 128 divisors (see below), whose sum is σ = 127088640. Its totient is φ = 10186560.

The previous prime is 42540497. The next prime is 42540517. The reversal of 42540498 is 89404524.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42540497) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53661 + ... + 54447.

It is an arithmetic number, because the mean of its divisors is an integer number (992880).

Almost surely, 242540498 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42540498, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63544320).

42540498 is an abundant number, since it is smaller than the sum of its proper divisors (84548142).

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

42540498 is a wasteful number, since it uses less digits than its factorization.

42540498 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 42540498 is about 6522.3077204315. The cubic root of 42540498 is about 349.0874130731.

The spelling of 42540498 in words is "forty-two million, five hundred forty thousand, four hundred ninety-eight".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 27 33 39 42 54 63 66 77 78 91 99 117 126 143 154 182 189 198 231 234 273 286 297 351 378 429 462 546 594 693 702 787 819 858 1001 1287 1386 1574 1638 2002 2079 2361 2457 2574 3003 3861 4158 4722 4914 5509 6006 7083 7722 8657 9009 10231 11018 14166 16527 17314 18018 20462 21249 25971 27027 30693 33054 42498 49581 51942 54054 60599 61386 71617 77913 92079 99162 112541 121198 143234 148743 155826 181797 184158 214851 225082 233739 276237 297486 337623 363594 429702 467478 545391 552474 644553 675246 787787 1012869 1090782 1289106 1575574 1636173 1933659 2025738 2363361 3038607 3272346 3867318 4726722 6077214 7090083 14180166 21270249 42540498