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87620448 = 25317531013
BaseRepresentation
bin1010011100011…
…11101101100000
320002212120122210
411032033231200
5134412323243
612410002120
72112522126
oct516175540
9202776583
1087620448
11455065a3
1225416340
13151cab26
14b8cb916
157a5b933
hex538fb60

87620448 has 96 divisors (see below), whose sum is σ = 248373216. Its totient is φ = 26943488.

The previous prime is 87620447. The next prime is 87620473. The reversal of 87620448 is 84402678.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87620441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85990 + ... + 87002.

It is an arithmetic number, because the mean of its divisors is an integer number (2587221).

Almost surely, 287620448 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 87620448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124186608).

87620448 is an abundant number, since it is smaller than the sum of its proper divisors (160752768).

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

87620448 is a wasteful number, since it uses less digits than its factorization.

87620448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 87620448 is about 9360.5794692423. The cubic root of 87620448 is about 444.1556146360.

The spelling of 87620448 in words is "eighty-seven million, six hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 53 68 96 102 106 136 159 204 212 272 318 408 424 544 636 816 848 901 1013 1272 1632 1696 1802 2026 2544 2703 3039 3604 4052 5088 5406 6078 7208 8104 10812 12156 14416 16208 17221 21624 24312 28832 32416 34442 43248 48624 51663 53689 68884 86496 97248 103326 107378 137768 161067 206652 214756 275536 322134 413304 429512 551072 644268 826608 859024 912713 1288536 1653216 1718048 1825426 2577072 2738139 3650852 5154144 5476278 7301704 10952556 14603408 21905112 29206816 43810224 87620448