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88016368 = 241134133
BaseRepresentation
bin1010011111100…
…00010111110000
320010121200202111
411033300113300
5140013010433
612422255104
72116061326
oct517602760
9203550674
1088016368
1145757000
1225587494
13153090bb
14b991d16
157ad8dcd
hex53f05f0

88016368 has 40 divisors (see below), whose sum is σ = 187617456. Its totient is φ = 39997760.

The previous prime is 88016339. The next prime is 88016407. The reversal of 88016368 is 86361088.

It is a super-3 number, since 3×880163683 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 88016368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19230 + ... + 23362.

Almost surely, 288016368 is an apocalyptic number.

88016368 is a gapful number since it is divisible by the number (88) 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 88016368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93808728).

88016368 is an abundant number, since it is smaller than the sum of its proper divisors (99601088).

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

88016368 is a wasteful number, since it uses less digits than its factorization.

88016368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4174 (or 4146 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 88016368 is about 9381.7038964146. The cubic root of 88016368 is about 444.8235937574.

The spelling of 88016368 in words is "eighty-eight million, sixteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1331 1936 2662 4133 5324 8266 10648 16532 21296 33064 45463 66128 90926 181852 363704 500093 727408 1000186 2000372 4000744 5501023 8001488 11002046 22004092 44008184 88016368