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84835712 = 2713172999
BaseRepresentation
bin1010000111001…
…11110110000000
312220122002201102
411003213312000
5133204220322
612230153532
72050043303
oct503476600
9186562642
1084835712
1143984365
12244b28a8
1314764460
14b3a4b3a
1576ab792
hex50e7d80

84835712 has 64 divisors (see below), whose sum is σ = 192780000. Its totient is φ = 36839424.

The previous prime is 84835697. The next prime is 84835769. The reversal of 84835712 is 21753848.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26789 + ... + 29787.

Almost surely, 284835712 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 84835712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96390000).

84835712 is an abundant number, since it is smaller than the sum of its proper divisors (107944288).

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

84835712 is a wasteful number, since it uses less digits than its factorization.

84835712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3043 (or 3031 counting only the distinct ones).

The product of its digits is 53760, while the sum is 38.

The square root of 84835712 is about 9210.6303801640. The cubic root of 84835712 is about 439.3995114365.

The spelling of 84835712 in words is "eighty-four million, eight hundred thirty-five thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 272 416 442 544 832 884 1088 1664 1768 2176 2999 3536 5998 7072 11996 14144 23992 28288 38987 47984 50983 77974 95968 101966 155948 191936 203932 311896 383872 407864 623792 662779 815728 1247584 1325558 1631456 2495168 2651116 3262912 4990336 5302232 6525824 10604464 21208928 42417856 84835712