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88216848 = 24321921697
BaseRepresentation
bin1010100001000…
…01010100010000
320010222212202200
411100201110100
5140040414343
612430443200
72120554656
oct520412420
9203885680
1088216848
1145883695
1225663500
1315379425
14ba04dd6
157b284d3
hex5421510

88216848 has 90 divisors (see below), whose sum is σ = 260716014. Its totient is φ = 27841536.

The previous prime is 88216847. The next prime is 88216873. The reversal of 88216848 is 84861288.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 87385104 + 831744 = 9348^2 + 912^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (88216847) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51136 + ... + 52832.

Almost surely, 288216848 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 88216848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130358007).

88216848 is an abundant number, since it is smaller than the sum of its proper divisors (172499166).

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

88216848 is a wasteful number, since it uses less digits than its factorization.

88216848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1721 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 88216848 is about 9392.3824453650. The cubic root of 88216848 is about 445.1610711790.

The spelling of 88216848 in words is "eighty-eight million, two hundred sixteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 361 456 684 722 912 1083 1368 1444 1697 2166 2736 2888 3249 3394 4332 5091 5776 6498 6788 8664 10182 12996 13576 15273 17328 20364 25992 27152 30546 32243 40728 51984 61092 64486 81456 96729 122184 128972 193458 244368 257944 290187 386916 515888 580374 612617 773832 1160748 1225234 1547664 1837851 2321496 2450468 3675702 4642992 4900936 5513553 7351404 9801872 11027106 14702808 22054212 29405616 44108424 88216848