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86042488 = 23719193419
BaseRepresentation
bin1010010000011…
…10011101111000
312222220102002211
411020032131320
5134011324423
612312104504
72063230510
oct510163570
9188812084
1086042488
1144628aa4
1224995134
1314a9781c
14b5da840
15784910d
hex520e778

86042488 has 64 divisors (see below), whose sum is σ = 195552000. Its totient is φ = 34670592.

The previous prime is 86042483. The next prime is 86042533. The reversal of 86042488 is 88424068.

It is a super-3 number, since 3×860424883 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 86042488.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86042483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205143 + ... + 205561.

It is an arithmetic number, because the mean of its divisors is an integer number (3055500).

Almost surely, 286042488 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 86042488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97776000).

86042488 is an abundant number, since it is smaller than the sum of its proper divisors (109509512).

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

86042488 is a wasteful number, since it uses less digits than its factorization.

86042488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 86042488 is about 9275.9090120591. The cubic root of 86042488 is about 441.4731750684.

The spelling of 86042488 in words is "eighty-six million, forty-two thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 193 266 386 419 532 772 838 1064 1351 1544 1676 2702 2933 3352 3667 5404 5866 7334 7961 10808 11732 14668 15922 23464 25669 29336 31844 51338 55727 63688 80867 102676 111454 161734 205352 222908 323468 445816 566069 646936 1132138 1536473 2264276 3072946 4528552 6145892 10755311 12291784 21510622 43021244 86042488