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88016112 = 2433792579
BaseRepresentation
bin1010011111100…
…00010011110000
320010121200102000
411033300103300
5140013003422
612422254000
72116060512
oct517602360
9203550360
1088016112
1145756898
1225587300
1315308c52
14b991bb2
157ad8cac
hex53f04f0

88016112 has 80 divisors (see below), whose sum is σ = 255936000. Its totient is φ = 28956096.

The previous prime is 88016111. The next prime is 88016153. The reversal of 88016112 is 21161088.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88016111) 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, 32839 + ... + 35417.

It is an arithmetic number, because the mean of its divisors is an integer number (3199200).

Almost surely, 288016112 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 88016112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127968000).

88016112 is an abundant number, since it is smaller than the sum of its proper divisors (167919888).

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

88016112 is a wasteful number, since it uses less digits than its factorization.

88016112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2675 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 88016112 is about 9381.6902528276. The cubic root of 88016112 is about 444.8231624931.

The spelling of 88016112 in words is "eighty-eight million, sixteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 108 144 158 216 237 316 432 474 632 711 948 1264 1422 1896 2133 2579 2844 3792 4266 5158 5688 7737 8532 10316 11376 15474 17064 20632 23211 30948 34128 41264 46422 61896 69633 92844 123792 139266 185688 203741 278532 371376 407482 557064 611223 814964 1114128 1222446 1629928 1833669 2444892 3259856 3667338 4889784 5501007 7334676 9779568 11002014 14669352 22004028 29338704 44008056 88016112