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87404208 = 24317434753
BaseRepresentation
bin1010011010110…
…10111010110000
320002110121000220
411031122322300
5134333413313
612401213040
72110631523
oct515327260
9202417026
1087404208
1145379091
1225331180
1315153588
14b872bba
157a17823
hex535aeb0

87404208 has 160 divisors (see below), whose sum is σ = 254555136. Its totient is φ = 25718784.

The previous prime is 87404203. The next prime is 87404243. The reversal of 87404208 is 80240478.

It is a super-2 number, since 2×874042082 = 15278991152214528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87404203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1649110 + ... + 1649162.

Almost surely, 287404208 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 87404208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127277568).

87404208 is an abundant number, since it is smaller than the sum of its proper divisors (167150928).

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

87404208 is a wasteful number, since it uses less digits than its factorization.

87404208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 87404208 is about 9349.0217670086. The cubic root of 87404208 is about 443.7899339053.

The spelling of 87404208 in words is "eighty-seven million, four hundred four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 43 47 48 51 53 68 86 94 102 106 129 136 141 159 172 188 204 212 258 272 282 318 344 376 408 424 516 564 636 688 731 752 799 816 848 901 1032 1128 1272 1462 1598 1802 2021 2064 2193 2256 2279 2397 2491 2544 2703 2924 3196 3604 4042 4386 4558 4794 4982 5406 5848 6063 6392 6837 7208 7473 8084 8772 9116 9588 9964 10812 11696 12126 12784 13674 14416 14946 16168 17544 18232 19176 19928 21624 24252 27348 29892 32336 34357 35088 36464 38352 38743 39856 42347 43248 48504 54696 59784 68714 77486 84694 97008 103071 107113 109392 116229 119568 127041 137428 154972 169388 206142 214226 232458 254082 274856 309944 321339 338776 412284 428452 464916 508164 549712 619888 642678 677552 824568 856904 929832 1016328 1285356 1649136 1713808 1820921 1859664 2032656 2570712 3641842 5141424 5462763 7283684 10925526 14567368 21851052 29134736 43702104 87404208