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83048740 = 22517244261
BaseRepresentation
bin1001111001100…
…11100100100100
312210021022110021
410330303210210
5132230024430
612124004524
72025621415
oct474634444
9183238407
1083048740
1142973825
1223990744
1314289c88
14b05b80c
15745707a
hex4f33924

83048740 has 24 divisors (see below), whose sum is σ = 184662072. Its totient is φ = 31265280.

The previous prime is 83048737. The next prime is 83048743. The reversal of 83048740 is 4784038.

It is an interprime number because it is at equal distance from previous prime (83048737) and next prime (83048743).

It can be written as a sum of positive squares in 4 ways, for example, as 45373696 + 37675044 = 6736^2 + 6138^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 83048696 and 83048705.

It is not an unprimeable number, because it can be changed into a prime (83048743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121791 + ... + 122470.

It is an arithmetic number, because the mean of its divisors is an integer number (7694253).

Almost surely, 283048740 is an apocalyptic number.

It is an amenable number.

83048740 is an abundant number, since it is smaller than the sum of its proper divisors (101613332).

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

83048740 is a wasteful number, since it uses less digits than its factorization.

83048740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244287 (or 244285 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 83048740 is about 9113.1081415728. The cubic root of 83048740 is about 436.2924349052.

The spelling of 83048740 in words is "eighty-three million, forty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 244261 488522 977044 1221305 2442610 4152437 4885220 8304874 16609748 20762185 41524370 83048740