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84021525 = 3252727621
BaseRepresentation
bin1010000001000…
…01000100010101
312212002201212100
411000201010111
5133002142100
612200512313
72040112500
oct500410425
9185081770
1084021525
1143478685
122417b699
131453a9a3
14b232137
15759a400
hex5021115

84021525 has 54 divisors (see below), whose sum is σ = 175084962. Its totient is φ = 38404800.

The previous prime is 84021523. The next prime is 84021569. The reversal of 84021525 is 52512048.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 17288964 + 66732561 = 4158^2 + 8169^2 .

It is not a de Polignac number, because 84021525 - 21 = 84021523 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84021521) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 7215 + ... + 14835.

Almost surely, 284021525 is an apocalyptic number.

It is an amenable number.

84021525 is an abundant number, since it is smaller than the sum of its proper divisors (91063437).

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

84021525 is a wasteful number, since it uses less digits than its factorization.

84021525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7651 (or 7636 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 84021525 is about 9166.3255997155. The cubic root of 84021525 is about 437.9893191866.

The spelling of 84021525 in words is "eighty-four million, twenty-one thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 2205 3675 7621 11025 22863 38105 53347 68589 114315 160041 190525 266735 342945 373429 480123 571575 800205 1120287 1333675 1714725 1867145 2400615 3360861 4001025 5601435 9335725 12003075 16804305 28007175 84021525