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87047744 = 267832341
BaseRepresentation
bin1010011000000…
…11111001000000
320001210111001112
411030003321000
5134241011434
612345422452
72104615340
oct514037100
9201714045
1087047744
1145155293
122519aa28
131505a254
14b7bcd20
157996dce
hex5303e40

87047744 has 56 divisors (see below), whose sum is σ = 199875648. Its totient is φ = 36840960.

The previous prime is 87047743. The next prime is 87047747. The reversal of 87047744 is 44774078.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (87047743) 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, 36014 + ... + 38354.

It is an arithmetic number, because the mean of its divisors is an integer number (3569208).

Almost surely, 287047744 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 87047744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99937824).

87047744 is an abundant number, since it is smaller than the sum of its proper divisors (112827904).

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

87047744 is a wasteful number, since it uses less digits than its factorization.

87047744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2443 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 41.

The square root of 87047744 is about 9329.9380490976. The cubic root of 87047744 is about 443.1858032614.

The spelling of 87047744 in words is "eighty-seven million, forty-seven thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 112 166 224 332 448 581 664 1162 1328 2324 2341 2656 4648 4682 5312 9296 9364 16387 18592 18728 32774 37184 37456 65548 74912 131096 149824 194303 262192 388606 524384 777212 1048768 1360121 1554424 2720242 3108848 5440484 6217696 10880968 12435392 21761936 43523872 87047744