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42729204 = 22374779137
BaseRepresentation
bin1010001011111…
…1111011110100
32222101212110010
42202333323310
541414313304
64123500220
71026122640
oct242777364
988355403
1042729204
11221350a1
1212387670
138b10b6b
145963c20
153b40789
hex28bfef4

42729204 has 96 divisors (see below), whose sum is σ = 118702080. Its totient is φ = 11711232.

The previous prime is 42729139. The next prime is 42729217. The reversal of 42729204 is 40292724.

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 31 ways as a sum of consecutive naturals, for example, 311824 + ... + 311960.

It is an arithmetic number, because the mean of its divisors is an integer number (1236480).

Almost surely, 242729204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42729204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59351040).

42729204 is an abundant number, since it is smaller than the sum of its proper divisors (75972876).

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

42729204 is a wasteful number, since it uses less digits than its factorization.

42729204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 42729204 is about 6536.7579119928. The cubic root of 42729204 is about 349.6028256539.

The spelling of 42729204 in words is "forty-two million, seven hundred twenty-nine thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 79 84 94 137 141 158 188 237 274 282 316 329 411 474 548 553 564 658 822 948 959 987 1106 1316 1644 1659 1918 1974 2212 2877 3318 3713 3836 3948 5754 6439 6636 7426 10823 11139 11508 12878 14852 19317 21646 22278 25756 25991 32469 38634 43292 44556 45073 51982 64938 75761 77268 77973 90146 103964 129876 135219 151522 155946 180292 227283 270438 303044 311892 454566 508681 540876 909132 1017362 1526043 2034724 3052086 3560767 6104172 7121534 10682301 14243068 21364602 42729204