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88713216 = 211324813
BaseRepresentation
bin1010100100110…
…10100000000000
320011221002122200
411102122200000
5140202310331
612445233200
72125023054
oct522324000
9204832580
1088713216
1146092609
1225862800
13154c1337
14bad3c64
157bc55e6
hex549a800

88713216 has 72 divisors (see below), whose sum is σ = 256273290. Its totient is φ = 29564928.

The previous prime is 88713199. The next prime is 88713221. The reversal of 88713216 is 61231788.

It can be written as a sum of positive squares in only one way, i.e., 66585600 + 22127616 = 8160^2 + 4704^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16026 + ... + 20838.

Almost surely, 288713216 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 88713216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128136645).

88713216 is an abundant number, since it is smaller than the sum of its proper divisors (167560074).

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

88713216 is a wasteful number, since it uses less digits than its factorization.

88713216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4841 (or 4818 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 88713216 is about 9418.7693463637. The cubic root of 88713216 is about 445.9944364432.

The spelling of 88713216 in words is "eighty-eight million, seven hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 4813 6144 9216 9626 14439 18432 19252 28878 38504 43317 57756 77008 86634 115512 154016 173268 231024 308032 346536 462048 616064 693072 924096 1232128 1386144 1848192 2464256 2772288 3696384 4928512 5544576 7392768 9857024 11089152 14785536 22178304 29571072 44356608 88713216