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87874038 = 23373761103
BaseRepresentation
bin1010011110011…
…01100111110110
320010100110112000
411033031213312
5134443432123
612415240130
72114626350
oct517154766
9203313460
1087874038
114566a07a
1225519046
1315289395
14b9560d0
157aabb43
hex53cd9f6

87874038 has 128 divisors (see below), whose sum is σ = 235223040. Its totient is φ = 23794560.

The previous prime is 87874021. The next prime is 87874043. The reversal of 87874038 is 83047878.

It is a junction number, because it is equal to n+sod(n) for n = 87873984 and 87874002.

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 63 ways as a sum of consecutive naturals, for example, 853095 + ... + 853197.

It is an arithmetic number, because the mean of its divisors is an integer number (1837680).

Almost surely, 287874038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87874038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117611520).

87874038 is an abundant number, since it is smaller than the sum of its proper divisors (147349002).

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

87874038 is a wasteful number, since it uses less digits than its factorization.

87874038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 87874038 is about 9374.1153182580. The cubic root of 87874038 is about 444.5836917896.

The spelling of 87874038 in words is "eighty-seven million, eight hundred seventy-four thousand, thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 61 63 74 103 111 122 126 183 189 206 222 259 309 333 366 378 427 518 549 618 666 721 777 854 927 999 1098 1281 1442 1554 1647 1854 1998 2163 2257 2331 2562 2781 3294 3811 3843 4326 4514 4662 5562 6283 6489 6771 6993 7622 7686 11433 11529 12566 12978 13542 13986 15799 18849 19467 20313 22866 23058 26677 31598 34299 37698 38934 40626 43981 47397 53354 56547 60939 68598 80031 87962 94794 102897 113094 121878 131943 142191 160062 169641 205794 232471 240093 263886 284382 339282 395829 426573 464942 480186 697413 720279 791658 853146 1187487 1394826 1440558 1627297 2092239 2374974 3254594 4184478 4881891 6276717 9763782 12553434 14645673 29291346 43937019 87874038