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86305428 = 223211219813
BaseRepresentation
bin1010010010011…
…10101010010100
320000101202210100
411021032222110
5134043233203
612321454100
72065404216
oct511165224
9200352710
1086305428
1144798600
1224aa1330
1314b5a401
14b6685b6
15789bea3
hex524ea94

86305428 has 54 divisors (see below), whose sum is σ = 239808842. Its totient is φ = 26151840.

The previous prime is 86305411. The next prime is 86305441. The reversal of 86305428 is 82450368.

86305428 is a `hidden beast` number, since 86 + 30 + 542 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45319824 + 40985604 = 6732^2 + 6402^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 86305392 and 86305401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5551 + ... + 14262.

Almost surely, 286305428 is an apocalyptic number.

It is an amenable number.

86305428 is an abundant number, since it is smaller than the sum of its proper divisors (153503414).

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

86305428 is a wasteful number, since it uses less digits than its factorization.

86305428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19845 (or 19829 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 86305428 is about 9290.0714744290. The cubic root of 86305428 is about 441.9224217701.

The spelling of 86305428 in words is "eighty-six million, three hundred five thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 19813 39626 59439 79252 118878 178317 217943 237756 356634 435886 653829 713268 871772 1307658 1961487 2397373 2615316 3922974 4794746 7192119 7845948 9589492 14384238 21576357 28768476 43152714 86305428