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88093344 = 2532114349
BaseRepresentation
bin1010100000000…
…11001010100000
320010202121100110
411100003022200
5140022441334
612424051320
72116531623
oct520031240
9203677313
1088093344
11457a9919
1225603b40
1315335151
14b9b1dba
157b01ae9
hex54032a0

88093344 has 48 divisors (see below), whose sum is σ = 232394400. Its totient is φ = 29218560.

The previous prime is 88093319. The next prime is 88093361. The reversal of 88093344 is 44339088.

It is a tau number, because it is divible by the number of its divisors (48).

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, 18082 + ... + 22430.

It is an arithmetic number, because the mean of its divisors is an integer number (4841550).

Almost surely, 288093344 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 88093344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116197200).

88093344 is an abundant number, since it is smaller than the sum of its proper divisors (144301056).

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

88093344 is a wasteful number, since it uses less digits than its factorization.

88093344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4573 (or 4565 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 88093344 is about 9385.8054529167. The cubic root of 88093344 is about 444.9532316291.

The spelling of 88093344 in words is "eighty-eight million, ninety-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 211 422 633 844 1266 1688 2532 3376 4349 5064 6752 8698 10128 13047 17396 20256 26094 34792 52188 69584 104376 139168 208752 417504 917639 1835278 2752917 3670556 5505834 7341112 11011668 14682224 22023336 29364448 44046672 88093344