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87904278 = 23971129
BaseRepresentation
bin1010011110101…
…01000000010110
320010102000000000
411033111000112
5140000414103
612420032130
72115113460
oct517250026
9203360000
1087904278
114568a870
1225532646
131529a087
14b963130
157ab5aa3
hex53d5016

87904278 has 160 divisors (see below), whose sum is σ = 255087360. Its totient is φ = 22044960.

The previous prime is 87904273. The next prime is 87904301. The reversal of 87904278 is 87240978.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87904273) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3031168 + ... + 3031196.

It is an arithmetic number, because the mean of its divisors is an integer number (1594296).

Almost surely, 287904278 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87904278, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127543680).

87904278 is an abundant number, since it is smaller than the sum of its proper divisors (167183082).

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

87904278 is an equidigital number, since it uses as much as digits as its factorization.

87904278 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 87904278 is about 9375.7281317240. The cubic root of 87904278 is about 444.6346839797.

The spelling of 87904278 in words is "eighty-seven million, nine hundred four thousand, two hundred seventy-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 29 33 42 54 58 63 66 77 81 87 99 126 154 162 174 189 198 203 231 243 261 297 319 378 406 462 486 522 567 594 609 638 693 729 783 891 957 1134 1218 1386 1458 1566 1701 1782 1827 1914 2079 2187 2233 2349 2673 2871 3402 3654 4158 4374 4466 4698 5103 5346 5481 5742 6237 6561 6699 7047 8019 8613 10206 10962 12474 13122 13398 14094 15309 16038 16443 17226 18711 19683 20097 21141 24057 25839 30618 32886 37422 39366 40194 42282 45927 48114 49329 51678 56133 60291 63423 72171 77517 91854 98658 112266 120582 126846 137781 144342 147987 155034 168399 180873 190269 216513 232551 275562 295974 336798 361746 380538 433026 443961 465102 505197 542619 570807 697653 887922 1010394 1085238 1141614 1331883 1395306 1515591 1627857 2092959 2663766 3031182 3255714 3995649 4185918 4883571 6278877 7991298 9767142 12557754 14650713 29301426 43952139 87904278