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86284737 = 3374113
BaseRepresentation
bin1010010010010…
…01100111000001
320000100201102000
411021021213001
5134042102422
612321214213
72065260000
oct511114701
9200321360
1086284737
1144784000
1224a91369
1314b50b76
14b660c37
157895cac
hex52499c1

86284737 has 80 divisors (see below), whose sum is σ = 164026560. Its totient is φ = 44823240.

The previous prime is 86284733. The next prime is 86284739. The reversal of 86284737 is 73748268.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 86284737 - 22 = 86284733 is a prime.

Its product of digits (451584) is a multiple of the sum of its prime divisors (21).

It is a junction number, because it is equal to n+sod(n) for n = 86284692 and 86284701.

It is not an unprimeable number, because it can be changed into a prime (86284733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7844062 + ... + 7844072.

It is an arithmetic number, because the mean of its divisors is an integer number (2050332).

Almost surely, 286284737 is an apocalyptic number.

It is an amenable number.

86284737 is a deficient number, since it is larger than the sum of its proper divisors (77741823).

86284737 is an frugal number, since it uses more digits than its factorization.

86284737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 21 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 86284737 is about 9288.9577994520. The cubic root of 86284737 is about 441.8871032204.

The spelling of 86284737 in words is "eighty-six million, two hundred eighty-four thousand, seven hundred thirty-seven".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 99 121 147 189 231 297 343 363 441 539 693 847 1029 1089 1323 1331 1617 2079 2401 2541 3087 3267 3773 3993 4851 5929 7203 7623 9261 9317 11319 11979 14553 17787 21609 22869 26411 27951 33957 35937 41503 53361 64827 65219 79233 83853 101871 124509 160083 195657 237699 251559 290521 373527 456533 586971 713097 871563 1120581 1369599 1760913 2614689 3195731 4108797 7844067 9587193 12326391 28761579 86284737