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542014998 = 237374147181
BaseRepresentation
bin100000010011100…
…111111000010110
31101202220012210120
4200103213320112
52102223434443
6125441132410
716301023440
oct4023477026
91352805716
10542014998
11258a53988
1213162a106
13883a5b45
1451db1490
15328b7083
hex204e7e16

542014998 has 128 divisors (see below), whose sum is σ = 1338494976. Its totient is φ = 143078400.

The previous prime is 542014997. The next prime is 542015057. The reversal of 542014998 is 899410245.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542014997) 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, 2994468 + ... + 2994648.

It is an arithmetic number, because the mean of its divisors is an integer number (10456992).

Almost surely, 2542014998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542014998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669247488).

542014998 is an abundant number, since it is smaller than the sum of its proper divisors (796479978).

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

542014998 is a wasteful number, since it uses less digits than its factorization.

542014998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318.

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 542014998 is about 23281.2155610484. The cubic root of 542014998 is about 815.3369066403.

The spelling of 542014998 in words is "five hundred forty-two million, fourteen thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 7 14 21 37 41 42 47 74 82 94 111 123 141 181 222 246 259 282 287 329 362 518 543 574 658 777 861 987 1086 1267 1517 1554 1722 1739 1927 1974 2534 3034 3478 3801 3854 4551 5217 5781 6697 7421 7602 8507 9102 10434 10619 11562 12173 13394 13489 14842 17014 20091 21238 22263 24346 25521 26978 31857 36519 40182 40467 44526 46879 51042 51947 59549 63714 71299 73038 80934 93758 103894 119098 140637 142598 155841 178647 213897 274577 281274 311682 314759 348787 357294 427794 499093 549154 629518 697574 823731 944277 998186 1046361 1497279 1647462 1888554 1922039 2092722 2203313 2441509 2994558 3844078 4406626 4883018 5766117 6609939 7324527 11532234 12905119 13219878 14649054 25810238 38715357 77430714 90335833 180671666 271007499 542014998