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83497248 = 25321915259
BaseRepresentation
bin1001111101000…
…01000100100000
312211010002200200
410332201010200
5132333402443
612141345200
72032500132
oct476410440
9184102620
1083497248
114314a79a
1223b68200
13143b6173
14b137052
1574e4dd3
hex4fa1120

83497248 has 72 divisors (see below), whose sum is σ = 249958800. Its totient is φ = 26365824.

The previous prime is 83497247. The next prime is 83497273. The reversal of 83497248 is 84279438.

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

It is not an unprimeable number, because it can be changed into a prime (83497241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2158 + ... + 13101.

It is an arithmetic number, because the mean of its divisors is an integer number (3471650).

Almost surely, 283497248 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 83497248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124979400).

83497248 is an abundant number, since it is smaller than the sum of its proper divisors (166461552).

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

83497248 is a wasteful number, since it uses less digits than its factorization.

83497248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15294 (or 15283 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 83497248 is about 9137.6828572675. The cubic root of 83497248 is about 437.0764301034.

The spelling of 83497248 in words is "eighty-three million, four hundred ninety-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 15259 30518 45777 61036 91554 122072 137331 183108 244144 274662 289921 366216 488288 549324 579842 732432 869763 1098648 1159684 1464864 1739526 2197296 2319368 2609289 3479052 4394592 4638736 5218578 6958104 9277472 10437156 13916208 20874312 27832416 41748624 83497248