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88086264 = 2337796637
BaseRepresentation
bin1010100000000…
…01011011111000
320010202020122020
411100001123320
5140022230024
612423554440
72116502160
oct520013370
9203666566
1088086264
11457a4572
12255bba20
1315331b66
14b9ad5a0
157aee979
hex54016f8

88086264 has 64 divisors (see below), whose sum is σ = 254899200. Its totient is φ = 24845184.

The previous prime is 88086259. The next prime is 88086269. The reversal of 88086264 is 46268088.

It is an interprime number because it is at equal distance from previous prime (88086259) and next prime (88086269).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88086269) 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 15 ways as a sum of consecutive naturals, for example, 9954 + ... + 16590.

It is an arithmetic number, because the mean of its divisors is an integer number (3982800).

Almost surely, 288086264 is an apocalyptic number.

88086264 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88086264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127449600).

88086264 is an abundant number, since it is smaller than the sum of its proper divisors (166812936).

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

88086264 is a wasteful number, since it uses less digits than its factorization.

88086264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6732 (or 6728 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 88086264 is about 9385.4282800520. The cubic root of 88086264 is about 444.9413111172.

The spelling of 88086264 in words is "eighty-eight million, eighty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 79 84 158 168 237 316 474 553 632 948 1106 1659 1896 2212 3318 4424 6636 6637 13272 13274 19911 26548 39822 46459 53096 79644 92918 139377 159288 185836 278754 371672 524323 557508 1048646 1115016 1572969 2097292 3145938 3670261 4194584 6291876 7340522 11010783 12583752 14681044 22021566 29362088 44043132 88086264