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87374896 = 2471574969
BaseRepresentation
bin1010011010100…
…11110000110000
320002102002211021
411031103300300
5134331444041
612400425224
72110450210
oct515236060
9202362737
1087374896
1145359064
1225318214
131514312b
14b866240
157a0dcd1
hex5353c30

87374896 has 40 divisors (see below), whose sum is σ = 194744480. Its totient is φ = 37200384.

The previous prime is 87374893. The next prime is 87374897. The reversal of 87374896 is 69847378.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (87374891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15100 + ... + 20068.

It is an arithmetic number, because the mean of its divisors is an integer number (4868612).

Almost surely, 287374896 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 87374896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97372240).

87374896 is an abundant number, since it is smaller than the sum of its proper divisors (107369584).

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

87374896 is a wasteful number, since it uses less digits than its factorization.

87374896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5141 (or 5135 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 52.

The square root of 87374896 is about 9347.4539849095. The cubic root of 87374896 is about 443.7403183499.

It can be divided in two parts, 87374 and 896, that multiplied together give a square (78287104 = 88482).

The spelling of 87374896 in words is "eighty-seven million, three hundred seventy-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 157 314 628 1099 1256 2198 2512 4396 4969 8792 9938 17584 19876 34783 39752 69566 79504 139132 278264 556528 780133 1560266 3120532 5460931 6241064 10921862 12482128 21843724 43687448 87374896