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87377488 = 24114373
BaseRepresentation
bin1010011010101…
…00011001010000
320002102020101021
411031110121100
5134332034423
612400445224
72110460602
oct515243120
9202366337
1087377488
1145360000
1225319814
1315144373
14b867172
157a0e95d
hex5354650

87377488 has 50 divisors (see below), whose sum is σ = 186721370. Its totient is φ = 39610560.

The previous prime is 87377473. The next prime is 87377489. The reversal of 87377488 is 88477378.

It can be written as a sum of positive squares in only one way, i.e., 75898944 + 11478544 = 8712^2 + 3388^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87377489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 234070 + ... + 234442.

Almost surely, 287377488 is an apocalyptic number.

87377488 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87377488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93360685).

87377488 is an abundant number, since it is smaller than the sum of its proper divisors (99343882).

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

87377488 is an equidigital number, since it uses as much as digits as its factorization.

87377488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 386 counting only the distinct ones).

The product of its digits is 2107392, while the sum is 52.

The square root of 87377488 is about 9347.5926312607. The cubic root of 87377488 is about 443.7447061988.

The spelling of 87377488 in words is "eighty-seven million, three hundred seventy-seven thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 373 484 746 968 1331 1492 1936 2662 2984 4103 5324 5968 8206 10648 14641 16412 21296 29282 32824 45133 58564 65648 90266 117128 180532 234256 361064 496463 722128 992926 1985852 3971704 5461093 7943408 10922186 21844372 43688744 87377488