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83930448 = 24371913147
BaseRepresentation
bin1010000000010…
…10110101010000
312211221002221010
411000022311100
5132441233243
612154530520
72036253120
oct500126520
9184832833
1083930448
1143416208
1224136a40
13145083b4
14b20ac80
15757d433
hex500ad50

83930448 has 80 divisors (see below), whose sum is σ = 260856320. Its totient is φ = 22716288.

The previous prime is 83930443. The next prime is 83930507. The reversal of 83930448 is 84403938.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83930443) 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, 190 + ... + 12957.

It is an arithmetic number, because the mean of its divisors is an integer number (3260704).

Almost surely, 283930448 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 83930448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130428160).

83930448 is an abundant number, since it is smaller than the sum of its proper divisors (176925872).

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

83930448 is a wasteful number, since it uses less digits than its factorization.

83930448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13184 (or 13178 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 83930448 is about 9161.3562314758. The cubic root of 83930448 is about 437.8310058837.

The spelling of 83930448 in words is "eighty-three million, nine hundred thirty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 6384 13147 26294 39441 52588 78882 92029 105176 157764 184058 210352 249793 276087 315528 368116 499586 552174 631056 736232 749379 999172 1104348 1472464 1498758 1748551 1998344 2208696 2997516 3497102 3996688 4417392 5245653 5995032 6994204 10491306 11990064 13988408 20982612 27976816 41965224 83930448