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87291954 = 23237532473
BaseRepresentation
bin1010011001111…
…11100000110010
320002020220001100
411030333200302
5134321320304
612354545230
72106653331
oct514774062
9202226040
1087291954
1145301812
1225298216
1315114459
14b843d18
1579e4439
hex533f832

87291954 has 48 divisors (see below), whose sum is σ = 197989272. Its totient is φ = 27765504.

The previous prime is 87291937. The next prime is 87291959. The reversal of 87291954 is 45919278.

It can be written as a sum of positive squares in 4 ways, for example, as 86769225 + 522729 = 9315^2 + 723^2 .

It is not an unprimeable number, because it can be changed into a prime (87291959) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34062 + ... + 36534.

Almost surely, 287291954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87291954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98994636).

87291954 is an abundant number, since it is smaller than the sum of its proper divisors (110697318).

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

87291954 is a wasteful number, since it uses less digits than its factorization.

87291954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2571 (or 2568 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 87291954 is about 9343.0163223661. The cubic root of 87291954 is about 443.5998647294.

The spelling of 87291954 in words is "eighty-seven million, two hundred ninety-one thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 9 18 37 53 74 106 111 159 222 318 333 477 666 954 1961 2473 3922 4946 5883 7419 11766 14838 17649 22257 35298 44514 91501 131069 183002 262138 274503 393207 549006 786414 823509 1179621 1647018 2359242 4849553 9699106 14548659 29097318 43645977 87291954